The invention relates to a press (1) for separating fat containing mass, e.g. cocoa mass, into liquid fat and cake, comprising a frame (2), a plurality of pressing elements (6) disposed in the frame (2), a gutter (17) for transporting the liquid fat, and a conveyor (15) for receiving the cakes, positioned beneath the pressing elements (6). At least one collector (20) for the liquid fat, which collector (20) is movable between at least two positions, a first position beneath the pressing elements (6) to collect the liquid fat flowing from the pressing elements (6) during pressing and to transport the liquid fat to the gutter (17) and a second position to allow cakes (16) to fall past it and into the conveyor (15).