Abstract: The kit enables performing percutaneous connection between an arterial catheter (1) to be inserted along an artery leading to the region to be treated, and an infusion port (2) to be implanted in correspondence of a subcutaneous pocket-like cut (T) formed at a short distance from the opening (C) for introducing the catheter (1). The kit comprises a tunnelling assembly including a cannula needle (3) formed by a metal tubular inner stylet (4) having a tapered and bevelled tip (5) and by an outer jacket (6), a metal guide member (7), and a tunneler device (8) formed by an inner tubular dilator (9) and by an outer tubular introduction element (10) having a slightly tapered distal end (11) and a slightly countersunk proximal end (12).