diff --git a/test/integration/tests/1336-new-package-names/Main.hs b/test/integration/tests/1336-1337-new-package-names/Main.hs
similarity index 63%
rename from test/integration/tests/1336-new-package-names/Main.hs
rename to test/integration/tests/1336-1337-new-package-names/Main.hs
index 8662607a85..d440532b5f 100644
--- a/test/integration/tests/1336-new-package-names/Main.hs
+++ b/test/integration/tests/1336-1337-new-package-names/Main.hs
@@ -12,3 +12,9 @@ main = do
     stackErr ["new", "1-abc"]
     stackErr ["new", "44444444444444"]
     stackErr ["new", "abc-1"]
+    stackErr ["new", "444-ば日本-4本"]
+    stack ["new", "ば日本-4本"]
+    stack ["new", "אבהץש"]
+    stack ["new", "ΔΘΩϬ"]
+    doesExist "./ΔΘΩϬ/stack.yaml"
+    doesExist "./ΔΘΩϬ/ΔΘΩϬ.cabal"