Abstract: A system for supplying a liquid or paste-like substance. The system comprises a compressible bag for receiving the substance to be supplied, a supply assembly which forms a supply channel with a corresponding supply mouth for supplying the substance from the bag, and a container. The container has a supporting body comprising at least a supporting plate and a movable presser plate, wherein the supporting body and the presser plate together form a chamber for the incorporation therein of the bag, so that the bag is positioned between the supporting plate and the presser plate. The presser plate can be moved in a pressure direction to the supporting plate to empty the substance from the bag. The supporting body in a region between the supporting plate and the presser plate is provided with a passage for the supply assembly.