A food container in the form of a paper cup having a top edge and a plastic rim structure which is injection molded to the edge so as to firmly be adhered thereto. The rim structure exhibits a flat annular upper surface to which a heat sealable closure made of metal foil with heat sealable plastic underlayer can be attached after filling the container with a suitable food product. The mechanical attachment between the rim and cup is enhanced either by rolling the top edge prior to the molding steps, or forming holes in the cup just below the top edge in the paper blank.