An endovascular device tip assembly and method of making the same, incorporating a tip device with a first and second flange, usable with catheters and other suitable endovascular devices is provided. The tip assembly incorporates a tip device by providing a counterbore within a primary bore of a tubular end portion of an endovascular device. The tip device is fitted securely within the counterbore by placing the first flange within the counterbore and the second flange on the outside of the end portion.