A device for a press for shaping a sheet metal part with a section which can be shaped out separately as an undercut in the device. The device includes a press-side ram, a swage and a die which can be driven separately, serves to shape out the undercut, and interacts with an undercut contour which is arranged substantially in a filler slide which is mounted such that it can be moved rotationally in the swage. The filler slide can be transferred from a shaping-out position into a position which exposes the undercut in the sheet metal part, and vice versa. At least one temperature-control device is provided in the filler slide, by way of which temperature-control device the filler slide can be temperature-controlled at least in sections.