The process comprises the following steps: - a helical ribbon of milk product is continuously metered through an aperture of a metering nozzle； - a layer of molten substance intended to form the crunchy composition after cooling is applied, to the ribbon being formed, continuously from the beginning of it being formed to the end of it being metered, by metering through at least one molten substance outlet orifice of said nozzle； and - the helical layer of substance thus being formed is trapped between the first ribbon of product and a second helical ribbon of fresh milk product, by concomitantly and continuously metering the second ribbon of product through a second aperture of the metering nozzle, such that said second ribbon is deposited onto the helical layer of substance being formed, simultaneously with the substance coming into contact with the first helical ribbon being formed.
