Index: test/trigger3.test
==================================================================
--- test/trigger3.test
+++ test/trigger3.test
@@ -76,10 +76,24 @@
 do_test trigger3-3.2 {
     execsql {
 	SELECT * FROM tbl;
     }
 } {}
+
+# Verify that a ROLLBACK trigger works like a FAIL trigger if
+# we are not within a transaction.  Ticket #3035.
+#
+do_test trigger3-3.3 {
+    catchsql {COMMIT}
+    catchsql {
+        INSERT INTO tbl VALUES (3, 9, 10);
+    }
+} {1 {Trigger rollback}}
+do_test trigger3-3.4 {
+    execsql {SELECT * FROM tbl}
+} {}
+
 # IGNORE
 do_test trigger3-4.1 {
     catchsql {
 	BEGIN;
         INSERT INTO tbl VALUES (5, 5, 6);