The machine has a single body (1) which integrates mixers (4) in correspondence with containers (3) which contain the paste, a centrifuge (7) equipped with housings (11) designed to house in individualized manner and in radial arrangement each one of the containers (3) which contain the already mixed paste, means of pumping (12, 16, 17) or pressing which exerts a pressure on the liquid produced after the centrifugation, and a filter (14) positioned after the means of pumping (12, 16, 17) for the definitive production of the oil.