Abstract: A recloseable bag package is provided by closing the top of a filled bag to form a neck, preferably trimming the walls of the bag to the same height, folding over a portion of the neck, preferably only once, and sealing the folded over portion of the neck to a side wall of the bag using a composite tape comprising a length of a first tape having a non-setting adhesive coating on one surface and a length of a second tape overlapping one edge of the adhesive coated surface of the first tape. The first tape seals or reseals the bag, and the second tape provides a tab for peeling the first tape partially from the bag to open the package and also provides a vehicle for coupons or other printed matter. Apparatus is provided to close, trim and fold the bag and to form and apply the lengths of composite tape.