An apparatus for the processing and segmenting of a cover-forming laminate web or sheeting structure which is adapted to interconnect a plurality of containers, such as the base members of blister packages each of which is designed to contain a hydrophilic contact lens in a sterile aqueous solution. More specifically disclosed is an apparatus for the imprinting, perforating, slitting and cutting the laminated web structure such that the severed laminate segments constitute printed covering label for an array of such containers, and whereby the laminated web or sheeting segment may be severed along weakening or perforation lines so as to provide a separable packaging arrangement for individual of the containers which are subsequently adhered thereto.