A crossmember for a bumper includes an extruded profile base frame with at least two connecting areas, for attaching the crossmember to a vehicle structure, and which are set at a distance from each other along a longitudinal direction. An extruded reinforcing element is fixedly secured to a rear side of the extruded profile base frame between the at least two connecting areas. The crossmember is weight-optimized and which can be produced in a cost-effective manner.