1. A machine for preparing a frozen confectionery product comprising a receiving means (1) that forms a receptacle for housing a substantially bowl-shaped container (8), wherein the above receiving means comprises a heat exchange element (1a) having a heat exchange contact surface for contact with the heat exchange section (12) of the container when the container is placed in the machine; the above heat-exchange element (1a) has the shape of a return cone or a curved shape or a number of sections in the form of a reverse cone or a combination of curved sections and sections in the form of a reverse cone. 2. A machine according to claim 1, wherein the receiving means (1) that forms the socket has a shape that is the shape of the inverse cone or a curved shape, or has curved sections or sections in the shape of the inverse cone behind the heat exchange contact surface. A machine according to claim 1, wherein the receiving means (1) is arranged to accommodate the container (8), which is preferably symmetrical about the central axis of rotation of the container body. A machine according to claim 1, wherein the receiving means (1) only partially consists of a heat exchange element (1a). A machine according to claim 1, wherein the receiving means (1) is arranged to accommodate containers (8 ′, 8 ″, 8 ″ ″) with different volumes. A machine according to claim 1, which further comprises holding means (7a, 7b) intended for selective contact with the upper circumferential edge section (13a) of the container. A disposable container (8) intended for insertion into a device (20) for preparing a frozen confectionery product, wherein1. Машина для приготовления замороженного кондитерского изделия, содержащая принимающее средство (1), которое образует гнездо для размещения, по существу, чашеобразного контейнера (8), при этом вышеуказанное принимающее средство содержит теплообменный элемент (1а), имеющий теплообменную контактную поверхность, предназначенную для контакта с теплообменны