A machining centre comprising a machining plane; a subtractive unit for performing chip removal on a workpiece positioned on the machining plane; the subtractive unit comprising a first carriage that is slidable parallel to an operating axis; an additive unit arranged to perform machining by additive production techniques on the machining plane; the additive unit comprising a second carriage that is slidable along the operating axis. The additive unit is provided with a first coupling portion and said subtractive unit is provided with a second coupling portion couplable with the first coupling portion. In one step, the subtractive unit adopts a pick-up configuration in which the first coupling portion is coupled with the second coupling portion to connect the subtractive unit to the additive unit at least along the operating axis. In the pick-up configuration, the subtractive unit, connected to the additive unit, is configured to move the additive unit.