Abstract: A tool to be used in cooperation with a rotatable drill having a shoulder portion and a shank portion to remove set rivets securing parts together. The tool includes a hollow compressible means which surrounds the drill. The compressible means is provided at one end with a relieved surface having a contour that mates with the head of the rivet and with a central bore through which passes the drill. Spacers may be provided between the shoulder portion of the drill and the tool as well as may be friction reducing. The drill is moved toward the head of the set rivet through the tool and into cutting engagement with the rivet head to cut away the central portion of the rivet head without inadvertent disengagement. The tool may then be removed from the drill to permit the rivet to be knocked out of the parts or the drill may then be used to drill out the remainder of the stem of the rivet.