A process for carrying out a packaging for food stuffs, such as hazelnuts, dried fruits, or powdered milk, packaged in bulk, comprises the steps of: —provision of a big bag container (2), —carrying out a filling of the above said product (P), into the big bag container (2.), —provision of a seal enclosure (3) susceptible of containing the big bag container (2) with the above said filling of product (P) therein, and- sealing the enclosure (3) containing the big bag container (2), with the above said filling of product (P) therein, a sub atmospheric pressure. level. Preferably, a protective inert gas, such as nitrogen, is inserted into the enclosure (3) containing the big bag container (2).