The invention relates to aqueous polymer dispersions for composite film lamination and to a multiple-step method for the production of same from ethylenically-unsaturated, radically polymerisable monomers. In a first step, a first polymer is produced through radical emulsion polymerisation. In a further step, an aqueous polymer dispersion is produced in the presence of the first polymer. The monomers of the first step comprise monomers having acid functional groups. The monomers of the further step comprise monomers having oxazoline functional groups. The polymerisation of the first step occurs at low pH of less than 5. The acid functional groups of the first polymer are neutralised before the polymerisation of the further step. The aqueous polymer dispersions can be used as an adhesive for the production of composite films.