An apparatus for packaging a product arranged on a support, said support having a base wall and side wall, said apparatus comprising: a frame; a transport assembly arranged on the frame and configured for displacing one or more supports along a predefined path; a packaging assembly carried by said frame and operative at a packaging station positioned along said path, the packaging assembly being configured for tightly fixing a film sheet to said one or more supports; a vacuum arrangement; and at least one perforating unit carried by the frame and operating in correspondence of the packaging station, said perforating unit having a perforating tool with a pointed tip, characterized in that the perforating unit is configured to form at least one through hole in the side wall of the at least one support present in the packaging station, the perforating tool being operable between a rest position, where the tool is spaced apart from the side wall of said support, and an operating position, where the tool acts on said support and forms the at least one through hole in said side wall; the vacuum arrangement being configured for removing air from within said support underneath said film sheet at least in part through said at least one hole, wherein said perforating tool pointed tip is configured for progressively contacting the side wall of the support upon displacement of the perforating tool from the rest position to the operating position, wherein the pointed tip presents one or more cutting edges, each one of said cutting edges being positioned on the pointed tip such as to define a side profile which is inclined with respect to a/the prefixed direction of perforation, said cutting edges being positioned and configured such that upon perforation of the side wall of the support, the pointed tip cuts a flap element in the side wall, wherein said pointed tip of the perforating tool comprises two cutting edges having distal portions (106, 106a) converging to form a V shaped geometry at a distal end of tip, the two distal portions (106, 106a) being inclined by an angle with respect to a longitudinal axis of the perforating tool, wherein the cutting edges include two further portions (106, 106b), adjacent to and in prosecution of the distal portions (106, 106a), the further portions (106, 106b) terminating into non cutting surfaces which extend towards a proximal end of the tip and delimit an aperture. a frame; a transport assembly arranged on the frame and configured for displacing one or more supports along a predefined path; a packaging assembly carried by said frame and operative at a packaging station positioned along said path, the packaging assembly being configured for tightly fixing a film sheet to said one or more supports; a vacuum arrangement; and at least one perforating unit carried by the frame and operating in correspondence of the packaging station, said perforating unit having a perforating tool with a pointed tip, characterized in that the perforating unit is configured to form at least one through hole in the side wall of the at least one support present in the packaging station, the perforating tool being operable between a rest position, where the tool is spaced apart from the side wall of said support, and an operating position, where the tool acts on said support and forms the at least one through hole in said side wall; the vacuum arrangement being configured for removing air from within said support underneath said film sheet at least in part through said at least one hole, wherein said perforating tool pointed tip is configured for progressively contacting the side wall of the support upon displacement of the perforating tool from the rest position to the operating position, wherein the pointed tip presents one or more cutting edges, each one of said cutting edges being positioned on the pointed tip such as to define a side profile which is inclined with respect to a/the prefixed direction of perforation, said cutting edges being positioned and configured such that upon perforation of the side wall of the support, the pointed tip cuts a flap element in the side wall, wherein said pointed tip of the perforating tool comprises two cutting edges having distal portions (106, 106a) converging to form a V shaped geometry at a distal end of tip, the two distal portions (106, 106a) being inclined by an angle with respect to a longitudinal axis of the perforating tool, wherein the cutting edges include two further portions (106, 106b), adjacent to and in prosecution of the distal portions (106, 106a), the further portions (106, 106b) terminating into non cutting surfaces which extend towards a proximal end of the tip and delimit an aperture.