Abstract: A web of heat-sealable material is advanced in overlying relation with a row of filled cups to a sealing station where both the web and a cup dwell momentarily. During the dwell period, a head at the sealing station advances downwardly and successively tamps a disc-like portion of the web downwardly into the upper end portion of the cup, seals the outer periphery of the disc-like portion to and around the upper lip of the cup and then severs the disc-like portion from the web so as to leave the cup sealed with a flexible membrane.