A plant (1) for cold extraction of puree, or juice, from a food product of vegetable origin, or animal includes a treating machine, for example a softening machine (20) downstream of which a machine is provided for extracting (30) in which it is obtained the extraction of juice, or puree, from a food product of vegetable origin. Upstream of the treating machine (20) a division machine is provided (40, 40′) in which a division means is arranged to divide the starting food product of vegetable origin into parts of predetermined size. More in detail, in case of fresh vegetables, i.e. preserved at a temperature set between about 2 and 4° C., a division means is provided (40) arranged to provide the division of the vegetable product (100) into parts (105) of size set between 50 mm and 130 mm, advantageously, set between 80 mm and 110 mm, for example about 100 mm, which is fed to the above described treating machine (20). Instead, in case of frozen food product of vegetable origin, the division means (40′) is arranged to provide the division of the frozen product (102) into parts (103) of size substantially equivalent to the single pieces contained in the block, or cake, (102).