The invention relates to a process for the production of a layered composite structure comprising (1) a semi-permeable membrane made of a polymer composition comprising a polyetherester elastomer and (2) at least one web layer bonded to the membrane, wherein the process comprises a step wherein a melt layer of the polymer composition is applied onto the at least one web layer, and wherein the polyetherester elastomer comprises polyether soft segments formed from poly(alkylene-ether)glycols comprising alkylene-ether segments formed from ethylene oxide and polyester hard segments consisting of ester units derivable from short chain diols and dicarboxylic acid consisting of 98-65 mole % terephthalic acid (TPA), 2-35 mole % isophthalic acid (IPA) and optionally 0-20 mole % other dicarboxylic acids, wherein the mole % is relative to the total molar amount of dicarboxylic acid.