The element (1) has a functional head arranged at an end of the element and arranged coaxially to longitudinal axis of the element. A cutting geometry is arranged coaxially to the longitudinal axis of the element, where the cutting geometry includes a radially-outwardly arranged centering exterior bevel, a radially-inwardly arranged interior bevel, and a cutting edge arranged between the bevels. A seat geometry is arranged between the functional head and cutting geometry, where the cutting edge runs along an outer surface of an imaginary cylinder. Independent claims are also included for the following: (1) a self-piercing element setting apparatus comprising a punching tool (2) a self-piercing element setting method.