A machine for making liquid and semi-liquid products includes a first container and first mixer for processing a basic product and a second container and second mixer for converting the basic product into a desired product. First and second heat exchangers are operatively associated respectively with the first and second containers. First and second drive units respectively drive the first and second mixers. A connecting duct allows transfer of the basic product from the first container to the second container. A separating element is associated with the duct and switchable between a separating configuration in which the transfer of basic product from the first container to the second container through the duct is prevented, and a connecting configuration in which a transfer of basic product from the first container to the second container through the duct is allowed.