A drainable ostomy appliance includes first and second walls connected to each other at or near their peripheries. The first wall has a stoma-receiving opening, and a collecting cavity is defined between the first and second walls. A connection member is connected to the first wall for attaching the appliance to a user or for attaching the appliance to a flange for attaching the appliance to a user. An outlet extends away front the stoma-receiving opening and terminates at an opening. A stiffening member is positioned at or near the opening which extends across the outlet. The stiffening member has first and second sides which extend across the outlet, with the first side being closer to the stoma receiving opening than the second side. A thickness of the stiffening member increases as it extends from the first side to the second side.