diff --git a/tests/invalid/datetime/offset-overflow-hour.toml b/tests/invalid/datetime/offset-overflow-hour.toml
new file mode 100644
index 0000000..2c85d56
--- /dev/null
+++ b/tests/invalid/datetime/offset-overflow-hour.toml
@@ -0,0 +1,2 @@
+# Hour must be 00-24
+d = 1985-06-18 17:04:07+25:00
diff --git a/tests/invalid/datetime/offset-overflow-minute.toml b/tests/invalid/datetime/offset-overflow-minute.toml
new file mode 100644
index 0000000..fdcadc5
--- /dev/null
+++ b/tests/invalid/datetime/offset-overflow-minute.toml
@@ -0,0 +1,3 @@
+# Minute must be 00-59; we allow 60 too because some people do write offsets of
+# 60 minutes
+d = 1985-06-18 17:04:07+12:61