A plant for cold extraction of puree, or juice, from a fresh food product of vegetable, or animal, origin comprising: - a treating machine of a product entering the treating machine obtaining a treated product, wherein said treating machine is selected from a group consisting of: - a softening machine arranged to soften the product entering the machine through a plurality of pulses in quick succession obtaining a softened product; - a grinding machine arranged to grind the product entering the grinding machine; - a chopping machine arranged to chop the product entering the chopping machine; - a machine in which the product is caused to pass through a sieve; - a machine in which a cut is obtained of the product entering the machine; - or a combination thereof; - a cold extraction machine located downstream of said treating machine, in said cold extraction machine a rotor being arranged configured to work in combination with a sieve having a plurality of holes, in order to separate said treated product into a main product comprising said puree, or juice, which crosses said sieve and is discharged through a first outlet, and into a waste material that, instead, cannot cross said sieve and is discharged through a second outlet; said plant being characterized in that it furthermore provides: - a division machine (40,40') located upstream of said treating machine, in said division machine (40,40') division means (50,50') being provided arranged to divide said fresh food product into parts of predetermined size set between 50 mm and 130 mm; in that said division machine (40,40') is positioned above said treating machine in such a way that the movement of said parts of food product of predetermined size from said division machine (40,40') to said treating machine is carried out by gravity; and in that a lifting conveyor means is, furthermore, provided positioned upstream of said division machine (40,40'), said lifting conveyor means arranged to lift said fresh food product from a first height h1 to a second height h2 at which said food product is introduced in said division machine (40, 40'). - a treating machine of a product entering the treating machine obtaining a treated product, wherein said treating machine is selected from a group consisting of: - a softening machine arranged to soften the product entering the machine through a plurality of pulses in quick succession obtaining a softened product; - a grinding machine arranged to grind the product entering the grinding machine; - a chopping machine arranged to chop the product entering the chopping machine; - a machine in which the product is caused to pass through a sieve; - a machine in which a cut is obtained of the product entering the machine; - or a combination thereof; - a softening machine arranged to soften the product entering the machine through a plurality of pulses in quick succession obtaining a softened product; - a grinding machine arranged to grind the product entering the grinding machine; - a chopping machine arranged to chop the product entering the chopping machine; - a machine in which the product is caused to pass through a sieve; - a machine in which a cut is obtained of the product entering the machine; - or a combination thereof; - a cold extraction machine located downstream of said treating machine, in said cold extraction machine a rotor being arranged configured to work in combination with a sieve having a plurality of holes, in order to separate said treated product into a main product comprising said puree, or juice, which crosses said sieve and is discharged through a first outlet, and into a waste material that, instead, cannot cross said sieve and is discharged through a second outlet; said plant being characterized in that it furthermore provides: - a division machine (40,40') located upstream of said treating machine, in said division machine (40,40') division means (50,50') being provided arranged to divide said fresh food product into parts of predetermined size set between 50 mm and 130 mm; in that said division machine (40,40') is positioned above said treating machine in such a way that the movement of said parts of food product of predetermined size from said division machine (40,40') to said treating machine is carried out by gravity; and in that a lifting conveyor means is, furthermore, provided positioned upstream of said division machine (40,40'), said lifting conveyor means arranged to lift said fresh food product from a first height h1 to a second height h2 at which said food product is introduced in said division machine (40, 40'). - a division machine (40,40') located upstream of said treating machine, in said division machine (40,40') division means (50,50') being provided arranged to divide said fresh food product into parts of predetermined size set between 50 mm and 130 mm; in that said division machine (40,40') is positioned above said treating machine in such a way that the movement of said parts of food product of predetermined size from said division machine (40,40') to said treating machine is carried out by gravity; and in that a lifting conveyor means is, furthermore, provided positioned upstream of said division machine (40,40'), said lifting conveyor means arranged to lift said fresh food product from a first height h1 to a second height h2 at which said food product is introduced in said division machine (40, 40').