Abstract: A bumper cover overlies a longitudinally extending bumper frame to establish a bumper corner in a vehicle bumper assembly and includes a unitary member of resilient elastomeric material, the member having a generally L-shaped overall configuration including a front leg extending longitudinally along the bumper frame and a side leg extending laterally relative to the bumper frame and across a corresponding end of the bumper frame, a pair of parallel splines of a relatively rigid, relatively higher strength structural material integral with the front leg of the cover member, the splines each including an engagement portion projecting from the cover member and complementary to a corresponding groove in the bumper frame for engagement with the groove to secure the spline to the bumper frame, and a securing arrangement securing the splines in the bumper cover such that by virtue of affixing the engagement portion of each spline to the bumper frame, the bumper cover is affixed to the bumper frame to complete the bu