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).