Abstract: An adhesive polymer composition comprising a non-elastomeric copolymer of ethylene and one or more comonomers having 3 to 10 carbon atoms, and an elastomer is disclosed herein. The non-elastomeric copolymer is present in an amount of 60 to 95% by weight, based on the adhesive polymer composition, has a weight average molecular weight Mw of from 50 000 to 80 000 g/mol, molecular weight distribution Mw/Mn of 2.0 to 5.5, density of from 0.925 to 0.945 g/cm3, and at most 0.1 vinyl groups/1000 carbon atoms. The non-elastomeric copolymer or the non-elastomeric copolymer and the elastomer have been grafted with an acid grafting agent.