diff --git a/rostests/apitests/gdi32/GetGlyphIndices.c b/rostests/apitests/gdi32/GetGlyphIndices.c
index c7ddc0f2657..6e3377359c3 100644
--- a/rostests/apitests/gdi32/GetGlyphIndices.c
+++ b/rostests/apitests/gdi32/GetGlyphIndices.c
@@ -124,9 +124,19 @@ START_TEST(GetGlyphIndices)
     ok_lasterrornotchanged();
     ok_int(GetGlyphIndicesW(hdc, NULL, 1, Indices, 0), GDI_ERROR);
     ok_lasterrornotchanged();
+    ok_int(GetGlyphIndicesW(hdc, Single, 0, NULL, 0), GDI_ERROR);
+    ok_lasterrornotchanged();
+    ok_int(GetGlyphIndicesW(hdc, Single, 0, Indices, 0), GDI_ERROR);
+    ok_lasterrornotchanged();
     ok_int(GetGlyphIndicesW(hdc, Single, 1, NULL, 0), GDI_ERROR);
     ok_lasterrornotchanged();
 
+    /* Test an exceptional case that does not seem to return an error */
+    // FIXME: What does the returned value exactly means?
+    ok(GetGlyphIndicesW(hdc, NULL, 0, NULL, 0) != 0,
+       "GetGlyphIndicesW(hdc, NULL, 0, NULL, 0) return expected not zero, but got zero!\n");
+    ok_lasterrornotchanged();
+
     /* Test a single valid char */
     Single[0] = L'a';
     ok_int(GetGlyphIndicesW(hdc, Single, 1, Indices, 0), 1);