diff --git a/test/built-ins/Temporal/Duration/prototype/round/next-day-out-of-range.js b/test/built-ins/Temporal/Duration/prototype/round/next-day-out-of-range.js
new file mode 100644
index 0000000000..0a41bc6084
--- /dev/null
+++ b/test/built-ins/Temporal/Duration/prototype/round/next-day-out-of-range.js
@@ -0,0 +1,18 @@
+// Copyright (C) 2024 Igalia, S.L. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+
+/*---
+esid: sec-temporal.zoneddatetime.prototype.hoursinday
+description: >
+  Finding the boundary with the next day may throw if the instance is at the
+  upper edge of the representable range
+features: [Temporal]
+---*/
+
+const instance = new Temporal.Duration();
+const relativeTo = new Temporal.ZonedDateTime(86400_0000_0000_000_000_000n, "UTC");
+assert.throws(
+  RangeError,
+  () => instance.round({ largestUnit: "days", smallestUnit: "minutes", relativeTo }),
+  "Next day boundary is out of range"
+);
diff --git a/test/built-ins/Temporal/ZonedDateTime/prototype/hoursInDay/next-day-out-of-range.js b/test/built-ins/Temporal/ZonedDateTime/prototype/hoursInDay/next-day-out-of-range.js
new file mode 100644
index 0000000000..5ecc9cee17
--- /dev/null
+++ b/test/built-ins/Temporal/ZonedDateTime/prototype/hoursInDay/next-day-out-of-range.js
@@ -0,0 +1,13 @@
+// Copyright (C) 2024 Igalia, S.L. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+
+/*---
+esid: sec-temporal.zoneddatetime.prototype.hoursinday
+description: >
+  Finding the boundary with the next day may throw if the instance is at the
+  upper edge of the representable range
+features: [Temporal]
+---*/
+
+const z = new Temporal.ZonedDateTime(86400_0000_0000_000_000_000n, "UTC");
+assert.throws(RangeError, () => z.hoursInDay, "Next day boundary is out of range");
diff --git a/test/built-ins/Temporal/ZonedDateTime/prototype/round/day-rounding-out-of-range.js b/test/built-ins/Temporal/ZonedDateTime/prototype/round/day-rounding-out-of-range.js
new file mode 100644
index 0000000000..c6861e757f
--- /dev/null
+++ b/test/built-ins/Temporal/ZonedDateTime/prototype/round/day-rounding-out-of-range.js
@@ -0,0 +1,13 @@
+// Copyright (C) 2024 Igalia, S.L. All rights reserved.
+// This code is governed by the BSD license found in the LICENSE file.
+
+/*---
+esid: sec-temporal.zoneddatetime.prototype.round
+description: >
+  Finding the upper bound for day rounding may fail if the instance is at the
+  upper edge of the representable range
+features: [Temporal]
+---*/
+
+const instance = new Temporal.ZonedDateTime(86400_0000_0000_000_000_000n, "UTC");
+assert.throws(RangeError, () => instance.round({ smallestUnit: 'day' }), "Upper bound for rounding is out of range");