There is described an intaglio printing press (1; 1*) comprising an intaglio cylinder (8) and an ink wiping system (10) with a rotating wiping roller assembly (11) contacting a circumference of the intaglio cylinder (8) for wiping excess ink from the surface of the intaglio cylinder (8), a rotational speed of the wiping cylinder being adjustable with respect to a rotational speed of the intaglio cylinder (8). The intaglio printing press (1; 1*) comprises an adjustable drive unit (25), which adjustable drive unit (25) is interposed between the wiping roller assembly (11) acting as a rotating output body of the adjustable drive unit (25) and a driving gear (100) coupled to the intaglio cylinder (8) and acting as a rotating input body of the adjustable drive unit (25). The adjustable drive unit (25) is designed to allow selected adjustment of a rotational speed of the wiping roller assembly (11) with respect to a rotational speed of the driving gear (100). In an adjusting state of the adjustable drive unit (25), driving into rotation of the wiping roller assembly (11) is adjusted by means of an adjustment motor (700) of the adjustable drive unit (25). In a non-adjusting state of the adjustable drive unit (25), the adjustment motor (700) is inoperative and driving into rotation of the wiping roller assembly (11) is performed exclusively mechanically via the adjustable drive unit (25), the wiping roller assembly (11) rotating at a defined rotational speed with respect to the rotational speed of the intaglio cylinder (8).