Abstract: An electro-erosion machine for automatic completion of a cutout according to a closed trajectory or whose ends reach the edges of a part to be machined, or for completing a hollowing by means of piercing the part to be machined all the way through, as well as separating, at a certain predetermined machining moment, a clipping still retained by a narrow bridge of material, said machine being fitted with a numerical control device and at least one machining head, as well as with an auxiliary device, designed to break the bridge which retains the clipping, said clipping being of any shape, and to drop or eject said clipping, the separating being accomplished either by percussion or by exerting a pressure on it, or by shearing the bridge or exerting a torsion-tearing couple on it, or by submitting it to a thermal effect or by localized radiation of the bridge. It can also include an attachment for receiving and automatically evacuating the clipping expelled in this manner.