A gastight valve strip for a reclosable container includes first and second film layers adapted to be disposed over an aperture through a sidewall of a reclosable container. The second film layer opposes the first and includes an attachment surface adapted to be sealed to the sidewall of the container. The attachment surface has a patterned portion that defines a region of flow channels. Opposing surfaces of the first and second film layers form a substantially gastight seal therebetween upon contact of the first and second film layers to each other. A first film layer aperture extends through the first film layer, and is in fluid communication with an exterior side of the valve strip. A second film layer aperture extends through the second film layer, is offset and spaced apart from the first film layer aperture, and is in fluid communication with the container aperture through the patterned portion.