A machine for extracting puree, or fruit juice, from a product of animal or vegetable origin, provides a hollow body having a longitudinal axis. In the hollow body a sieve is mounted having a plurality of holes, in order to result co-axial to the hollow body same. The machine also includes a rotor mounted coaxially in the sieve and having a plurality of blades arranged to cause a centrifugal force to the product to treat, in order to separate it into a main product that crosses the sieve and that is discharged through a first outlet and into a waste material that, instead, cannot cross the sieve and is discharged through a second outlet.