diff --git a/Tests/check_jp2_overflow.py b/Tests/check_jp2_overflow.py
new file mode 100755
index 000000000..920474c81
--- /dev/null
+++ b/Tests/check_jp2_overflow.py
@@ -0,0 +1,29 @@
+#!/usr/bin/env python
+
+# Reproductions/tests for OOB read errors in FliDecode.c
+
+# When run in python, all of these images should fail for
+# one reason or another, either as a buffer overrun,
+# unrecognized datastream, or truncated image file.
+# There shouldn't be any segfaults.
+#
+# if run like
+# `valgrind --tool=memcheck python check_jp2_overflow.py  2>&1 | grep Decode.c`
+# the output should be empty. There may be python issues
+# in the valgrind especially if run in a debug python
+# version. 
+
+
+from PIL import Image
+
+repro = ('00r0_gray_l.jp2',  '00r1_graya_la.jp2'
+             )
+
+for path in repro:
+    im = Image.open(path)
+    try:
+        im.load()
+    except Exception as msg:
+        print(msg)
+
+    
diff --git a/Tests/images/00r0_gray_l.jp2 b/Tests/images/00r0_gray_l.jp2
new file mode 100644
index 000000000..28612238a
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diff --git a/Tests/images/00r1_graya_la.jp2 b/Tests/images/00r1_graya_la.jp2
new file mode 100644
index 000000000..f3f840a08
Binary files /dev/null and b/Tests/images/00r1_graya_la.jp2 differ