diff --git a/lib/storage/tag_filters.go b/lib/storage/tag_filters.go
index 8a45844264..11f824cbb4 100644
--- a/lib/storage/tag_filters.go
+++ b/lib/storage/tag_filters.go
@@ -19,58 +19,86 @@ import (
 //
 // This converts `foo{bar="baz",x=~"a.+"}` to `{foo=bar="baz",foo=x=~"a.+"} filter.
 func convertToCompositeTagFilterss(tfss []*TagFilters) []*TagFilters {
-	tfssNew := make([]*TagFilters, len(tfss))
-	for i, tfs := range tfss {
-		tfssNew[i] = convertToCompositeTagFilters(tfs)
+	tfssNew := make([]*TagFilters, 0, len(tfss))
+	for _, tfs := range tfss {
+		tfssNew = append(tfss, convertToCompositeTagFilters(tfs)...)
 	}
 	return tfssNew
 }
 
-func convertToCompositeTagFilters(tfs *TagFilters) *TagFilters {
-	// Search for metric name filter, which must be used for creating composite filters.
-	var name []byte
+func convertToCompositeTagFilters(tfs *TagFilters) []*TagFilters {
+	tfssCompiled := make([]*TagFilters, 0)
+
+	// Search for filters on metric name, which will be used for creating composite filters.
+	var names [][]byte
 	hasPositiveFilter := false
 	for _, tf := range tfs.tfs {
 		if len(tf.key) == 0 && !tf.isNegative && !tf.isRegexp {
-			name = tf.value
+			names = [][]byte{tf.value}
+		} else if len(tf.key) == 0 && !tf.isNegative && tf.isRegexp && len(tf.orSuffixes) > 0 {
+			// Split the filter {__name__=~"name1|...|nameN", other_filters}
+			// into `name1{other_filters}`, ..., `nameN{other_filters}`
+			// and generate composite filters for each of them
+			names = names[:0]
+			for _, orSuffix := range tf.orSuffixes {
+				names = append(names, []byte(orSuffix))
+			}
 		} else if !tf.isNegative && !tf.isEmptyMatch {
 			hasPositiveFilter = true
 		}
 	}
-	if len(name) == 0 {
+	if len(names) == 0 {
+		tfssCompiled = append(tfssCompiled, tfs)
 		atomic.AddUint64(&compositeFilterMissingConversions, 1)
-		return tfs
+		return tfssCompiled
 	}
-	tfsNew := make([]tagFilter, 0, len(tfs.tfs))
+
 	var compositeKey []byte
 	compositeFilters := 0
-	for _, tf := range tfs.tfs {
-		if len(tf.key) == 0 {
-			if !hasPositiveFilter || tf.isNegative || tf.isRegexp || string(tf.value) != string(name) {
-				tfsNew = append(tfsNew, tf)
+	for _, name := range names {
+		tfsNew := make([]tagFilter, 0, len(tfs.tfs))
+		for _, tf := range tfs.tfs {
+			if len(tf.key) == 0 {
+				sameOrSuffixes := true
+				if len(names) != len(tf.orSuffixes) {
+					sameOrSuffixes = false
+				} else {
+					for i, orSuffix := range tf.orSuffixes {
+						if string(names[i]) != orSuffix {
+							sameOrSuffixes = false
+							break
+						}
+					}
+				}
+				if !hasPositiveFilter || tf.isNegative || tf.isRegexp && !sameOrSuffixes || !tf.isRegexp && string(tf.value) != string(name) {
+					tfsNew = append(tfsNew, tf)
+				}
+				continue
 			}
-			continue
+			if string(tf.key) == "__graphite__" || bytes.Equal(tf.key, graphiteReverseTagKey) {
+				tfsNew = append(tfsNew, tf)
+				continue
+			}
+
+			compositeKey = marshalCompositeTagKey(compositeKey[:0], name, tf.key)
+			var tfNew tagFilter
+			if err := tfNew.Init(tfs.commonPrefix, compositeKey, tf.value, tf.isNegative, tf.isRegexp); err != nil {
+				logger.Panicf("BUG: unexpected error when creating composite tag filter for name=%q and key=%q: %s", name, tf.key, err)
+			}
+			tfsNew = append(tfsNew, tfNew)
+			compositeFilters++
 		}
-		if string(tf.key) == "__graphite__" || bytes.Equal(tf.key, graphiteReverseTagKey) {
-			tfsNew = append(tfsNew, tf)
-			continue
-		}
-		compositeKey = marshalCompositeTagKey(compositeKey[:0], name, tf.key)
-		var tfNew tagFilter
-		if err := tfNew.Init(tfs.commonPrefix, compositeKey, tf.value, tf.isNegative, tf.isRegexp); err != nil {
-			logger.Panicf("BUG: unexpected error when creating composite tag filter for name=%q and key=%q: %s", name, tf.key, err)
-		}
-		tfsNew = append(tfsNew, tfNew)
-		compositeFilters++
+		tfsCompiled := NewTagFilters(tfs.accountID, tfs.projectID)
+		tfsCompiled.tfs = tfsNew
+		tfssCompiled = append(tfssCompiled, tfsCompiled)
 	}
 	if compositeFilters == 0 {
+		tfssCompiled = append(tfssCompiled[:0], tfs)
 		atomic.AddUint64(&compositeFilterMissingConversions, 1)
-		return tfs
+		return tfssCompiled
 	}
-	tfsCompiled := NewTagFilters(tfs.accountID, tfs.projectID)
-	tfsCompiled.tfs = tfsNew
 	atomic.AddUint64(&compositeFilterSuccessConversions, 1)
-	return tfsCompiled
+	return tfssCompiled
 }
 
 var (
diff --git a/lib/storage/tag_filters_test.go b/lib/storage/tag_filters_test.go
index 7f3f0ba9be..01bd8d1f88 100644
--- a/lib/storage/tag_filters_test.go
+++ b/lib/storage/tag_filters_test.go
@@ -7,7 +7,7 @@ import (
 )
 
 func TestConvertToCompositeTagFilters(t *testing.T) {
-	f := func(tfs, resultExpected []TagFilter) {
+	f := func(tfs []TagFilter, resultExpected [][]TagFilter) {
 		t.Helper()
 		accountID := uint32(123)
 		projectID := uint32(456)
@@ -17,21 +17,25 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 				t.Fatalf("cannot add tf=%s: %s", tf.String(), err)
 			}
 		}
-		resultCompiled := convertToCompositeTagFilters(tfsCompiled)
-		if resultCompiled.accountID != accountID {
-			t.Fatalf("unexpected accountID; got %d; want %d", resultCompiled.accountID, accountID)
-		}
-		if resultCompiled.projectID != projectID {
-			t.Fatalf("unexpected projectID; got %d; want %d", resultCompiled.projectID, projectID)
-		}
-		result := make([]TagFilter, len(resultCompiled.tfs))
-		for i, tf := range resultCompiled.tfs {
-			result[i] = TagFilter{
-				Key:        tf.key,
-				Value:      tf.value,
-				IsNegative: tf.isNegative,
-				IsRegexp:   tf.isRegexp,
+		resultCompileds := convertToCompositeTagFilters(tfsCompiled)
+		result := make([][]TagFilter, len(resultCompileds))
+		for i, resultCompiled := range resultCompileds {
+			if resultCompiled.accountID != accountID {
+				t.Fatalf("unexpected accountID; got %d; want %d", resultCompiled.accountID, accountID)
 			}
+			if resultCompiled.projectID != projectID {
+				t.Fatalf("unexpected projectID; got %d; want %d", resultCompiled.projectID, projectID)
+			}
+			tfs := make([]TagFilter, len(resultCompiled.tfs))
+			for i, tf := range resultCompiled.tfs {
+				tfs[i] = TagFilter{
+					Key:        tf.key,
+					Value:      tf.value,
+					IsNegative: tf.isNegative,
+					IsRegexp:   tf.isRegexp,
+				}
+			}
+			result[i] = tfs
 		}
 		if !reflect.DeepEqual(result, resultExpected) {
 			t.Fatalf("unexpected result;\ngot\n%+v\nwant\n%+v", result, resultExpected)
@@ -39,7 +43,7 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 	}
 
 	// Empty filters
-	f(nil, []TagFilter{})
+	f(nil, [][]TagFilter{{}})
 
 	// A single non-name filter
 	f([]TagFilter{
@@ -49,12 +53,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("foo"),
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        []byte("foo"),
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -72,18 +78,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: true,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("foo"),
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("x"),
-			Value:      []byte("yy"),
-			IsNegative: true,
-			IsRegexp:   false,
+			{
+				Key:        []byte("foo"),
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("x"),
+				Value:      []byte("yy"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -95,12 +103,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -118,18 +128,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        nil,
-			Value:      []byte("baz"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        nil,
+				Value:      []byte("baz"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -147,12 +159,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -170,18 +184,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: true,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc"),
-			IsNegative: true,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -205,18 +221,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   true,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc"),
-			IsNegative: true,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("\xfe\x03bara"),
-			Value:      []byte("b.+"),
-			IsNegative: false,
-			IsRegexp:   true,
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("\xfe\x03bara"),
+				Value:      []byte("b.+"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
 		},
 	})
 
@@ -240,18 +258,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("\xfe\x03bazfoo"),
-			Value:      []byte("abc"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("\xfe\x03bazfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -269,12 +289,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   true,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -292,12 +314,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   true,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc.+"),
-			IsNegative: false,
-			IsRegexp:   true,
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc.+"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
 		},
 	})
 
@@ -315,18 +339,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("__graphite__"),
-			Value:      []byte("foo.*.bar"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("__graphite__"),
+				Value:      []byte("foo.*.bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -350,18 +376,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
-			Value:      []byte("abc"),
-			IsNegative: false,
-			IsRegexp:   false,
-		},
-		{
-			Key:        []byte("__graphite__"),
-			Value:      []byte("foo.*.bar"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+			{
+				Key:        []byte("__graphite__"),
+				Value:      []byte("foo.*.bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -379,13 +407,144 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        []byte("\xfe\x03barfoo"),
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+		},
+	})
+
+	// Multiple values regexp filter, which can be converted to non-regexp, with non-name filter.
+	f([]TagFilter{
+		{
+			Key:        nil,
+			Value:      []byte("bar|foo"),
+			IsNegative: false,
+			IsRegexp:   true,
+		},
+		{
+			Key:        []byte("foo"),
 			Value:      []byte("abc"),
 			IsNegative: false,
 			IsRegexp:   false,
 		},
+	}, [][]TagFilter{
+		{
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+		},
+		{
+			{
+				Key:        []byte("\xfe\x03foofoo"),
+				Value:      []byte("abc"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+		},
+	})
+
+	// Two multiple values regexp filter, which can be converted to non-regexp, with non-name filter.
+	f([]TagFilter{
+		{
+			Key:        nil,
+			Value:      []byte("bar|foo"),
+			IsNegative: false,
+			IsRegexp:   true,
+		},
+		{
+			Key:        nil,
+			Value:      []byte("abc|def"),
+			IsNegative: false,
+			IsRegexp:   true,
+		},
+		{
+			Key:        []byte("face"),
+			Value:      []byte("air"),
+			IsNegative: false,
+			IsRegexp:   false,
+		},
+	}, [][]TagFilter{
+		{
+			{
+				Key:        nil,
+				Value:      []byte("bar|foo"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
+			{
+				Key:        []byte("\xfe\x03abcface"),
+				Value:      []byte("air"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+		},
+		{
+			{
+				Key:        nil,
+				Value:      []byte("bar|foo"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
+			{
+				Key:        []byte("\xfe\x03defface"),
+				Value:      []byte("air"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
+		},
+	})
+
+	// Multiple values regexp filter with a single negative filter
+	f([]TagFilter{
+		{
+			Key:        nil,
+			Value:      []byte("bar|foo"),
+			IsNegative: false,
+			IsRegexp:   true,
+		},
+		{
+			Key:        []byte("foo"),
+			Value:      []byte("abc"),
+			IsNegative: true,
+			IsRegexp:   false,
+		},
+	}, [][]TagFilter{
+		{
+			{
+				Key:        nil,
+				Value:      []byte("bar|foo"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
+			{
+				Key:        []byte("\xfe\x03barfoo"),
+				Value:      []byte("abc"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
+		},
+		{
+			{
+				Key:        nil,
+				Value:      []byte("bar|foo"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
+			{
+				Key:        []byte("\xfe\x03foofoo"),
+				Value:      []byte("abc"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
+		},
 	})
 
 	// Regexp name filter with non-name filter.
@@ -402,18 +561,20 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: true,
 			IsRegexp:   false,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar.+"),
-			IsNegative: false,
-			IsRegexp:   true,
-		},
-		{
-			Key:        []byte("foo"),
-			Value:      []byte("abc"),
-			IsNegative: true,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar.+"),
+				IsNegative: false,
+				IsRegexp:   true,
+			},
+			{
+				Key:        []byte("foo"),
+				Value:      []byte("abc"),
+				IsNegative: true,
+				IsRegexp:   false,
+			},
 		},
 	})
 
@@ -431,12 +592,14 @@ func TestConvertToCompositeTagFilters(t *testing.T) {
 			IsNegative: false,
 			IsRegexp:   true,
 		},
-	}, []TagFilter{
+	}, [][]TagFilter{
 		{
-			Key:        nil,
-			Value:      []byte("bar"),
-			IsNegative: false,
-			IsRegexp:   false,
+			{
+				Key:        nil,
+				Value:      []byte("bar"),
+				IsNegative: false,
+				IsRegexp:   false,
+			},
 		},
 	})
 }