Abstract: A stream of overheated metal melt is applied from a container through a pouring nozzle as a closed jet, or in such a way as to be split up into drops by a gaseous medium, at a pouring point, to the inner surface of a strip coil or composite body also rotating in a mold body. Thus, an initially liquid metal film is produced to which a liquid coolant, preferably a low-temperature liquefied gas such as argon or nitrogen, is applied from a cooling nozzle at a cooling point which is offset in the direction of rotation relative to the pouring point. The coolant dissipates a substantial portion of the excess and melt heat of the metal film, mostly due to vaporization of the liquid coolant. Depending on the residual heat which it still has after the cooling operation, the metal film either remains isolated from the innermost metal layer applied beforehand, so that a strip coil develops, or melts with the metal layer so that a rotationally symmetrical composite body forms.