diff --git a/tests/queries/0_stateless/03128_argMin_combinator_projection.reference b/tests/queries/0_stateless/03128_argMin_combinator_projection.reference
new file mode 100644
index 00000000000..e69de29bb2d
diff --git a/tests/queries/0_stateless/03128_argMin_combinator_projection.sql b/tests/queries/0_stateless/03128_argMin_combinator_projection.sql
new file mode 100644
index 00000000000..f0a7f025c95
--- /dev/null
+++ b/tests/queries/0_stateless/03128_argMin_combinator_projection.sql
@@ -0,0 +1,73 @@
+DROP TABLE IF EXISTS combinator_argMin_table_r1 SYNC;
+DROP TABLE IF EXISTS combinator_argMin_table_r2 SYNC;
+
+CREATE TABLE combinator_argMin_table_r1
+(
+    `id` Int32,
+    `value` Int32,
+    `agg_time` DateTime,
+    PROJECTION first_items
+    (
+        SELECT
+            id,
+            minArgMin(agg_time, value),
+            maxArgMax(agg_time, value)
+        GROUP BY id
+    )
+)
+ENGINE = ReplicatedMergeTree('/clickhouse/tables/{database}/test_03128/combinator_argMin_table', 'r1')
+ORDER BY (id);
+
+INSERT INTO combinator_argMin_table_r1
+    SELECT
+        number % 10 as id,
+        number as value,
+        '01-01-2024 00:00:00' + INTERVAL number DAY
+    FROM
+        numbers(100);
+
+INSERT INTO combinator_argMin_table_r1
+    SELECT
+        number % 10 as id,
+        number * 10 as value,
+        '01-01-2024 00:00:00' + INTERVAL number DAY
+    FROM
+        numbers(100);
+
+SELECT
+    id,
+    minArgMin(agg_time, value),
+    maxArgMax(agg_time, value)
+FROM combinator_argMin_table_r1
+GROUP BY id
+ORDER BY id
+SETTINGS force_optimize_projection=1;
+
+-- We check replication by creating another replica
+CREATE TABLE combinator_argMin_table_r2
+(
+    `id` Int32,
+    `value` Int32,
+    `agg_time` DateTime,
+    PROJECTION first_items
+        (
+        SELECT
+            id,
+            minArgMin(agg_time, value),
+            maxArgMax(agg_time, value)
+        GROUP BY id
+        )
+)
+ENGINE = ReplicatedMergeTree('/clickhouse/tables/{database}/test_03128/combinator_argMin_table', 'r2')
+ORDER BY (id);
+
+SYSTEM SYNC REPLICA combinator_argMin_table_r2;
+
+SELECT
+    id,
+    minArgMin(agg_time, value),
+    maxArgMax(agg_time, value)
+FROM combinator_argMin_table_r2
+GROUP BY id
+ORDER BY id
+SETTINGS force_optimize_projection=1;
\ No newline at end of file