The invention relates to an adhesive dual-component composition comprising a composition A based on a polyurethane prepolymer with cyclocarbonate terminations and a composition B based on a mixture comprising at least one diamine B1 comprising only two primary amine groups of the —CH2—NH2 type and at least one polyamine B2 comprising at least three primary amine groups of the —CH2—NH2 type. The invention also relates to a multilayer structure produced from the adhesive composition according to the invention and to the method for the production thereof.