A bumper cross member system for a motor vehicle (10) having a base structure (18) that includes a bumper cross member (20) that extends in the post-assembly position transversely relative to the vehicle, and two crash boxes (22) that, in the post-assembly position, extend rearwardly from the bumper cross member (20) longitudinally relative to the vehicle, at least one of the following add-on elements (26) being configured on the base structure (18):
- a) a cross member expansion element (34), which, starting from an outer side of the bumper cross member (20), extends transversely relative to the vehicle outwardly in such a way that an extended base structure (18) having an enlarged width is obtained, and/or
- b) a crash box extender element (28), which extends from the bumper cross member (20) in the post-assembly position forwardly longitudinally relative to the vehicle in such a way that an extended base structure (18) having an elongated crash box (22) is obtained.