In a composite component assembled from at least one component piece comprising a polyamide molding composition with at least one component piece comprising a vulcanized elastomer, the polyamide molding composition comprises at least 40% by weight of a mixture of the following constituents: a) 60 to 99 parts by weight of polyamide and b) 1 to 40 parts by weight of a graft copolymer obtainable using the following monomers: a) 0.5% to 25% by weight, based on the graft copolymer, of a polyamine having at least 4 nitrogen atoms and also β) 75% to 99.5% by weight, based on the graft copolymer, of polyamide-forming monomers selected from lactams, ω-amino carboxylic acids and/or equimolar combinations of diamine and dicarboxylic acid, wherein the parts by weight of a) and b) sum to 100. The presence of the graft copolymer effectuates improved adherence between the component pieces.