diff --git a/src/baudolo/restore/db/postgres.py b/src/baudolo/restore/db/postgres.py
index 1dad748..b199e21 100644
--- a/src/baudolo/restore/db/postgres.py
+++ b/src/baudolo/restore/db/postgres.py
@@ -60,9 +60,9 @@ def restore_postgres_sql(
         # discourse's discourse_functions) does not fail on an already-existing schema.
         # Extension members (pg_trgm's set_limit) are superuser-owned; IF EXISTS absorbs CASCADE fallout.
         drop_sql = r"""
-SELECT format('DROP %s IF EXISTS public.%I CASCADE', obj.type, obj.name)
+SELECT format('DROP %s IF EXISTS public.%s CASCADE', obj.type, obj.name)
   FROM (
-    SELECT c.relname AS name,
+    SELECT format('%I', c.relname) AS name,
            CASE c.relkind
              WHEN 'v' THEN 'VIEW'
              WHEN 'm' THEN 'MATERIALIZED VIEW'
@@ -73,18 +73,20 @@ SELECT format('DROP %s IF EXISTS public.%I CASCADE', obj.type, obj.name)
      WHERE n.nspname = 'public' AND c.relkind IN ('r', 'p', 'v', 'm', 'f')
        AND pg_get_userbyid(c.relowner) = current_user
     UNION ALL
-    SELECT p.proname AS name,
+    -- Overloaded functions share a proname; DROP needs the identity
+    -- signature or psql aborts with "function name is not unique".
+    SELECT format('%I(%s)', p.proname, pg_get_function_identity_arguments(p.oid)) AS name,
            CASE p.prokind WHEN 'p' THEN 'PROCEDURE' ELSE 'FUNCTION' END AS type
       FROM pg_proc p JOIN pg_namespace n ON n.oid = p.pronamespace
      WHERE n.nspname = 'public' AND p.prokind IN ('f', 'p', 'w')
        AND pg_get_userbyid(p.proowner) = current_user
     UNION ALL
-    SELECT c.relname AS name, 'SEQUENCE' AS type
+    SELECT format('%I', c.relname) AS name, 'SEQUENCE' AS type
       FROM pg_class c JOIN pg_namespace n ON n.oid = c.relnamespace
      WHERE n.nspname = 'public' AND c.relkind = 'S'
        AND pg_get_userbyid(c.relowner) = current_user
     UNION ALL
-    SELECT t.typname AS name, 'TYPE' AS type
+    SELECT format('%I', t.typname) AS name, 'TYPE' AS type
       FROM pg_type t JOIN pg_namespace n ON n.oid = t.typnamespace
      WHERE n.nspname = 'public'
        AND pg_get_userbyid(t.typowner) = current_user
@@ -93,7 +95,7 @@ SELECT format('DROP %s IF EXISTS public.%I CASCADE', obj.type, obj.name)
                   SELECT 1 FROM pg_class c2
                    WHERE c2.oid = t.typrelid AND c2.relkind = 'c')))
     UNION ALL
-    SELECT col.collname AS name, 'COLLATION' AS type
+    SELECT format('%I', col.collname) AS name, 'COLLATION' AS type
       FROM pg_collation col JOIN pg_namespace n ON n.oid = col.collnamespace
      WHERE n.nspname = 'public'
        AND pg_get_userbyid(col.collowner) = current_user
diff --git a/tests/unit/restore/test_postgres_empty_drop.py b/tests/unit/restore/test_postgres_empty_drop.py
index 9509305..eb73301 100644
--- a/tests/unit/restore/test_postgres_empty_drop.py
+++ b/tests/unit/restore/test_postgres_empty_drop.py
@@ -36,7 +36,21 @@ class TestPostgresEmptyDrop(unittest.TestCase):
         sql = self._drop_sql()
         for marker in ("pg_class", "pg_proc", "'SEQUENCE' AS type", "'TYPE' AS type"):
             self.assertIn(marker, sql)
-        self.assertIn("DROP %s IF EXISTS public.%I CASCADE", sql)
+        self.assertIn("DROP %s IF EXISTS public.%s CASCADE", sql)
+
+    def test_functions_drop_with_identity_signature(self) -> None:
+        """Overloaded functions share a proname; a signature-less DROP aborts
+        with "function name is not unique", so the function branch must emit
+        name(identity args) while every other branch stays %I-quoted."""
+        sql = self._drop_sql()
+        self.assertIn("pg_get_function_identity_arguments(p.oid)", sql)
+        self.assertIn("format('%I(%s)', p.proname", sql)
+        for branch in (
+            "format('%I', c.relname)",
+            "format('%I', t.typname)",
+            "format('%I', col.collname)",
+        ):
+            self.assertIn(branch, sql)
 
 
 if __name__ == "__main__":