Described is a process for picking up a semifinished product (100) obtained by selective laser melting comprises preparing in the course of the selective laser melting a plurality of supporting arms (103) of the semifinished product (100) ending with a fixing socket (104) designed to be fixed to gripping equipment (1) using screws (4). The fixing socket (104) is equipped with a first portion of the conical coupling means. The process also comprises making the gripping equipment (1) directly in a removal machine generating a plurality of fixing holes (3) provided with a second portion of the conical coupling means. The semifinished product (100) is picked up on the removal machine centring each fixing socket (104) with respect to the relative fixing hole (3) using the respective conical coupling means and fixing each supporting arm (103) to the gripping equipment (1) at the respective fixing hole (3) by means of screws (4).
