diff --git a/test/api/fonts/Roboto-Regular.abcAE.ttf b/test/api/fonts/Roboto-Regular.abcAE.ttf
new file mode 100644
index 000000000..b3aae5bb5
Binary files /dev/null and b/test/api/fonts/Roboto-Regular.abcAE.ttf differ
diff --git a/test/api/fonts/Roboto-Regular.bAE.ttf b/test/api/fonts/Roboto-Regular.bAE.ttf
new file mode 100644
index 000000000..c7d1b3a31
Binary files /dev/null and b/test/api/fonts/Roboto-Regular.bAE.ttf differ
diff --git a/test/api/test-subset-glyf.c b/test/api/test-subset-glyf.c
index 2b330ced2..6be19e7c5 100644
--- a/test/api/test-subset-glyf.c
+++ b/test/api/test-subset-glyf.c
@@ -79,6 +79,31 @@ test_subset_glyf (void)
   hb_face_destroy (face_ac);
 }
 
+static void
+test_subset_glyf_set_overlaps_flag (void)
+{
+  hb_face_t *face_abcAE = hb_test_open_font_file ("fonts/Roboto-Regular.abcAE.ttf");
+  hb_face_t *face_bAE = hb_test_open_font_file ("fonts/Roboto-Regular.bAE.ttf");
+
+  hb_set_t *codepoints = hb_set_create();
+  hb_face_t *face_abcAE_subset;
+  hb_set_add (codepoints, 32);
+  hb_set_add (codepoints, 98);
+  hb_set_add (codepoints, 508);
+
+  hb_subset_input_t* input = hb_subset_test_create_input (codepoints);
+  hb_subset_input_set_overlaps_flag (input, true);
+  face_abcAE_subset = hb_subset_test_create_subset (face_abcAE, input);
+  hb_set_destroy (codepoints);
+
+  hb_subset_test_check (face_bAE, face_abcAE_subset, HB_TAG ('l','o','c', 'a'));
+  hb_subset_test_check (face_bAE, face_abcAE_subset, HB_TAG ('g','l','y','f'));
+
+  hb_face_destroy (face_abcAE_subset);
+  hb_face_destroy (face_abcAE);
+  hb_face_destroy (face_bAE);
+}
+
 static void
 test_subset_glyf_with_input_glyphs (void)
 {
@@ -342,6 +367,7 @@ main (int argc, char **argv)
 
   hb_test_add (test_subset_glyf_noop);
   hb_test_add (test_subset_glyf);
+  hb_test_add (test_subset_glyf_set_overlaps_flag);
   hb_test_add (test_subset_glyf_with_input_glyphs);
   hb_test_add (test_subset_glyf_strip_hints_simple);
   hb_test_add (test_subset_glyf_strip_hints_composite);