A machine for making and dispensing liquid, semi-liquid and/or semi-solid food products comprising a cylinder for processing a mixture of a basic product and air, a chamber for the transit of a heat exchange fluid, the chamber being located around the cylinder, a dispensing tap and means for treating the heat exchange fluid and supplying it to the transit chamber; it is equipped with a flexible container for containing the basic product and housed in a rigid container; a compressor of a flow of pressurized air being designed to send pressurized air into the rigid container in such a way that it acts on the flexible container to cause the transfer of the basic product from the container to the processing cylinder through a feed tube.