These cutting apparatuses can be mounted on each type and model of press, without altering the characteristic of the original cutting group on board of the press. The knife movement of TRAPEN, TRAPAR and SPECIAL PENNE DIE, in fact, is set directly by the cutting shaft endowed with the press, while the LASAGNE-CUTTERS, CANNELLONI-CUTTERS and MANICOTTI- CUTTERS are equipped with an independent cutting variable-speed driver, whether it be continuous or intermittent.