Abstract: The method of the present invention is intended to be used in association with a headed fastener such as a tee nut, but not limited to a tee nut. The present method contemplates embodiments of a riveting pin having protuberances that cause the flared end of the shaft to be flared in one or more discontinuous portions of the circumference of the shaft, whereby “push out” and “spin-out” are deterred. Where the length of the fastener shaft is no longer than the thickness of the material through which it is inserted, a first design of flaring pin is provided. Where the length of the shaft of the fastener employed is greater than the thickness of the material through which it extends, a second embodiment of flaring pin is employed. In the former case, at least one discrete portion of the circumference of the shaft is flared into the wall of the passageway through which the shaft extends.