Abstract: The invention relates to a perforating, grooving or cutting device for a multicolor or single-color sheet-fed rotary press (1) comprising printing and/or varnishing groups (2), at least one of which has a rubber cylinder (3) with a holding system (14) for a blanket, as well as an associated counter-pressure cylinder (4). According to the invention, a rectangular base plate (13) is provided, which is made from a flexible and shape-retaining material over which it is possible to glue embossed treatment profiles (29, 37) used as perforating and/or grooving and/or punching profiles corresponding to perforating and/or grooving and/or punching shapes which can be predetermined. Furthermore, at least two fastening strips (17, 18) are provided for detachably attaching the punch foil to opposed marginal areas in the stretched state.