An intaglio printing press includes an intaglio cylinder supported rotatably, an inking device for supplying ink to the intaglio cylinder, a wiping device for removing a surplus ink of the ink supplied to the intaglio cylinder, and a prewiping device, provided upstream of the wiping device and downstream of the inking device in the direction of rotation of the intaglio cylinder, for removing the ink before being removed by the wiping device. The prewiping device has a belt conveyor device for discharging the removed ink to the outside of the printing press.