A process for extracting in a controlled environment juice or puree from a product based on animal or vegetable food, said extraction being carried out in an extracting machine starting from a previously softened product, said extracting machine comprising: - a stator having at least one inlet and at least a first and a second outlet (30,40), a screen in said stator with a plurality of holes, at least one bladed rotor that rotates within said screen; wherein the steps are provided of: - feeding the previously softened product through said inlet to assist the extraction; - extracting puree or juice by means of rotation of said rotor that pushes said softened product against said screen, with production of puree or juice through said first outlet; - disposing of the waste not passed through the screen through said second outlet; characterised in that it provides the further steps of: - feeding said softened product at a predetermined section upstream from said inlet; - controlling the conveyance of said softened product from said upstream section up to said inlet, preventing air from being attracted through said section; - controlling the conveyance of said juice or puree in said first outlet, preventing air from being attracted in said stator through said first outlet; - controlling the conveyance of said waste in said second outlet, preventing air from being attracted in said stator through said second outlet; in that said product is fed from said upstream section to said inlet according to a certain head of softened product created within a storage unit, the pressure of said head causing the absence of air bubbles and preventing air from being attracted through said section; and in that a sensing step is provided of the level of said softened product in the storage unit that generate a level signal, said sensing step carried out by a sensor means, said controlled conveyance of said softened product from said upstream section to said inlet being responsive to said level signal generated by said sensor means. - a stator having at least one inlet and at least a first and a second outlet (30,40), a screen in said stator with a plurality of holes, at least one bladed rotor that rotates within said screen; wherein the steps are provided of: - feeding the previously softened product through said inlet to assist the extraction; - extracting puree or juice by means of rotation of said rotor that pushes said softened product against said screen, with production of puree or juice through said first outlet; - disposing of the waste not passed through the screen through said second outlet; characterised in that it provides the further steps of: - feeding said softened product at a predetermined section upstream from said inlet; - controlling the conveyance of said softened product from said upstream section up to said inlet, preventing air from being attracted through said section; - controlling the conveyance of said juice or puree in said first outlet, preventing air from being attracted in said stator through said first outlet; - controlling the conveyance of said waste in said second outlet, preventing air from being attracted in said stator through said second outlet; in that said product is fed from said upstream section to said inlet according to a certain head of softened product created within a storage unit, the pressure of said head causing the absence of air bubbles and preventing air from being attracted through said section; and in that a sensing step is provided of the level of said softened product in the storage unit that generate a level signal, said sensing step carried out by a sensor means, said controlled conveyance of said softened product from said upstream section to said inlet being responsive to said level signal generated by said sensor means. - feeding said softened product at a predetermined section upstream from said inlet; - controlling the conveyance of said softened product from said upstream section up to said inlet, preventing air from being attracted through said section; - controlling the conveyance of said juice or puree in said first outlet, preventing air from being attracted in said stator through said first outlet; - controlling the conveyance of said waste in said second outlet, preventing air from being attracted in said stator through said second outlet; in that said product is fed from said upstream section to said inlet according to a certain head of softened product created within a storage unit, the pressure of said head causing the absence of air bubbles and preventing air from being attracted through said section; and in that a sensing step is provided of the level of said softened product in the storage unit that generate a level signal, said sensing step carried out by a sensor means, said controlled conveyance of said softened product from said upstream section to said inlet being responsive to said level signal generated by said sensor means.