A machine (1) for making liquid or semi-liquid products comprises: - a container (2) adapted to contain a liquid or semi-liquid base product； - a thermal treatment system (3) associated with the container (2) to cool or heat the walls of the container (2)； - a stirrer (4) equipped with a plurality of radial vanes (5) and, in use, mounted inside the container (2) to mix the liquid base product inside the container； the machine (1) being characterized in that it further comprises a basket (6) having a plurality of through openings (7) on its walls (8A,8B), defining an internal space for containing flavourings or the like and, in use, mounted inside the container (2).
