A bumper for attachment to the front of a vehicle, includes an elongated bumper beam having a front face provided with at least one rearwardly depressed portion extending lengthwise of the bumper beam, a compressable energy absorbing foam material extending lengthwise of the bumper beam, and a bumper fascia covering the foam material. The foam material has a first portion received in the depressed portion and a second portion protruding forwardly from the front face of the bumper beam such that the second portion is compressed into the depressed portion upon receipt of a collision impact.