Polymer compositions having excellent physical properties, adhesion to metals and high temperature resistance consist essentially of 1) a polyolefin such as polypropylene, 2) a first ethylene copolymer selected from the group consisting of ethylene/vinyl acetate copolymers, ethylene/alkyl acrylate copolymers, and ethylene/alkyl methacrylate copolymers and 3) a second ethylene copolymer comprising copolymerized units of a) ethylene and b) a monomer selected from the group consisting of i) cyclic anhydrides of C4-C8 unsaturated acids, ii) C4-C8 unsaturated acids having at least two carboxylic acid groups, and iii) mono- and diesters of C4-C8 unsaturated acids having at least two carboxylic acid groups.