A method and assembly for preparing a drink based on frozen food comprises storing frozen food in various containers (111) in the form of first granular materials and under deep-freeze conditions, crushing (12) a portion of at least one of the first granular materials into a second granular material, and placing the second granular material into a cup (9). A first liquid (16) is added to the cup at a temperature of at least 50 °C. The cup, filled with the foods and possibly the first liquid, is closed (154), and the content of the cup is ground into a homogeneous mass. Lastly, the cup is opened and served.
