A machine for making liquid or semi-liquid products comprises:a container adapted to contain a liquid or semi-liquid base product；a thermal treatment system associated with the container to cool or heat the walls of the container；a stirrer equipped with a plurality of radial vanes and, in use, mounted inside the container to mix the liquid base product inside the container； the machine being characterized in that it further comprises a basket having a plurality of through openings on its walls, defining an internal space for containing flavorings or the like and, in use, mounted inside the container.
