This new solution consists of a combined material addition and shaping machining process i.e. the ability to move, as and when required, from material addition (additive manufacture) to material substraction (machining) and vice versa using the same machining head. This manufacturing method is particularly suitable for producing parts whose three-dimensional shape or microgeometric surface quality is not achievable by the machining processes when material addition and shaping are applied separately. This solution can produce parts of complex shape in a single block with more powerful characteristics, compared to parts manufactured using traditional techniques with element assembly (welding for example).