Method for preparing vegetable pulp destined to the extraction of juice and/or puree from a food product of vegetable origin, in particular a fruit, having a fleshy part and a central part (102,103), or endocarp, said method comprising the steps of: - pushing, by means of a pushing device, said food product of vegetable origin within a treatment cavity defined between an internal surface of a fixed hollow body, or stator, and an external surface of a rotor having a conical shape, wherein said treatment cavity has an inlet mouth through which said food product of vegetable origin is introduced within the same, and an outlet mouth through which said vegetable food product exits said treatment cavity after being treated, and wherein said treatment cavity has a size that decreases going from said inlet mouth to said outlet mouth; - rotating said rotor within said stator about a rotation axis; - partially crushing said food product of vegetable origin within said treatment cavity by a combination of said pushing step and of said rotating step of said rotor, and wherein said outlet mouth of said treatment cavity is dimensioned in such a way to be substantially equal to, or slightly higher than, the central part, or core, of the treated fruit to be processed, whereby during said crushing step, the fruit is pressed only partially and involving only the fleshy part of said food product and not involving the central part (102,103), in order not to jeopardize the organoleptic properties of the final product; said method being characterized in that a step is, furthermore, provided of setting up of the rotor in a given stator based on predetermined experimental data for different product to be treated in such a way that the closest distance between the internal surface of said stator and the external surface of said rotor is equal to or wider than the size of the stone or the central portion of the food product of vegetable origin to be treated, said step of setting up being carried out by adjusting preliminarily the position of the rotor with respect to the stator, or by selecting a determined rotor among a plurality of predetermined rotors. - pushing, by means of a pushing device, said food product of vegetable origin within a treatment cavity defined between an internal surface of a fixed hollow body, or stator, and an external surface of a rotor having a conical shape, wherein said treatment cavity has an inlet mouth through which said food product of vegetable origin is introduced within the same, and an outlet mouth through which said vegetable food product exits said treatment cavity after being treated, and wherein said treatment cavity has a size that decreases going from said inlet mouth to said outlet mouth; - rotating said rotor within said stator about a rotation axis; - partially crushing said food product of vegetable origin within said treatment cavity by a combination of said pushing step and of said rotating step of said rotor, and wherein said outlet mouth of said treatment cavity is dimensioned in such a way to be substantially equal to, or slightly higher than, the central part, or core, of the treated fruit to be processed, whereby during said crushing step, the fruit is pressed only partially and involving only the fleshy part of said food product and not involving the central part (102,103), in order not to jeopardize the organoleptic properties of the final product;