A composite profile for a window, door or façade element includes first and second outer profile parts and at least one insulating strip connecting the first and second outer profile parts with an intermediate space defined between them for thermal separation. At least one outer profile part connecting element is disposed in the intermediate space so that it is normally not in contact with the first and second outer profile parts. An actuating element is disposed so that, upon being activated by heat, it moves the outer profile part connecting element into engagement with the first and second outer profile parts, so that the outer profile part connecting element connects the first and second outer profile parts.