An improved system for sticking a frame with an integral lid to a flexible bag and to a rigid external container into which the bag is inserted. The improved system includes a frame having a flange and a peripheral groove. The flange has a lower surface and the lower surface has a surface-finish which has channels formed therein to promote the distribution of an adhesive. Also included is a bag having a flat upper surface and an external container having an upper edge. The upper edge has a finish of reliefs and hollows. There is an adhesive between the upper edge of the external container the peripheral groove in the frame and between the lower surface of the flange and the upper surface of the bag. The lower surface of the flange has an increased surface area due to the channels in order to increase sticking action between the bag and the flange. The reliefs and hollows of the upper edge of the external container increase sticking action between the frame and the external container.