Apparatus for packaging a product disposed on a support, said apparatus comprising: - a supporting frame, - a conveyor, engaged with the supporting frame and configured for moving one or more supports along a predetermined advancement direction, - a packaging station having: ∘ a lower tool configured for receiving one or more of said supports, ∘ an upper tool configured for receiving at least one film portion to be associated to said one or more supports, wherein the upper and lower tools (12, 14) are movable from each other between at least one distanced condition, at which the lower tool and upper tool are configured for enabling the film portion and support to enter the packaging station, and at least one approached condition, - a movement device configured for receiving a continuous film from a supplying source and positioning said film portion at the upper tool, the movement device exhibiting: ∘ at least one first gripping member configurable between a closed condition, wherein such first gripping member grippingly acts on said film, and an open condition, wherein such first gripping member does not act on said film, ∘ at least one second gripping member also configurable between a respective closed condition, wherein such second member grippingly acts on said film, and a respective open condition, wherein such second member does not grippingly act on said film, said second gripping member being movable with respect to the first gripping member along an advancement direction of said film and being configured for disposing said film portion into the packaging station and below said upper tool, - a cutter movable transversally with respect to the advancement direction of the second gripping member and configured for separating from said continuous film said film portion positioned below the upper tool, characterized by the fact that the apparatus further comprises an auxiliary actuator active on the cutter, wherein the cutter is movable - following an operation of said auxiliary actuator - at an ideal cutting plane lapping a trailing edge of said first gripping member, said auxiliary actuator being configured for moving the cutter itself between: - a rest position, wherein a blade of the cutter is distanced from the film portion engaged by said first and second gripping members, and - an operative position, distanced from said rest position, such operative position being disposed so that the blade of the cutter must move along an ideal cutting plane and crosses the film for arriving to the same operative position. - a supporting frame, - a conveyor, engaged with the supporting frame and configured for moving one or more supports along a predetermined advancement direction, - a packaging station having: ∘ a lower tool configured for receiving one or more of said supports, ∘ an upper tool configured for receiving at least one film portion to be associated to said one or more supports, wherein the upper and lower tools (12, 14) are movable from each other between at least one distanced condition, at which the lower tool and upper tool are configured for enabling the film portion and support to enter the packaging station, and at least one approached condition, ∘ a lower tool configured for receiving one or more of said supports, ∘ an upper tool configured for receiving at least one film portion to be associated to said one or more supports, - a movement device configured for receiving a continuous film from a supplying source and positioning said film portion at the upper tool, the movement device exhibiting: ∘ at least one first gripping member configurable between a closed condition, wherein such first gripping member grippingly acts on said film, and an open condition, wherein such first gripping member does not act on said film, ∘ at least one second gripping member also configurable between a respective closed condition, wherein such second member grippingly acts on said film, and a respective open condition, wherein such second member does not grippingly act on said film, said second gripping member being movable with respect to the first gripping member along an advancement direction of said film and being configured for disposing said film portion into the packaging station and below said upper tool, ∘ at least one first gripping member configurable between a closed condition, wherein such first gripping member grippingly acts on said film, and an open condition, wherein such first gripping member does not act on said film, ∘ at least one second gripping member also configurable between a respective closed condition, wherein such second member grippingly acts on said film, and a respective open condition, wherein such second member does not grippingly act on said film, said second gripping member being movable with respect to the first gripping member along an advancement direction of said film and being configured for disposing said film portion into the packaging station and below said upper tool, - a cutter movable transversally with respect to the advancement direction of the second gripping member and configured for separating from said continuous film said film portion positioned below the upper tool, - a rest position, wherein a blade of the cutter is distanced from the film portion engaged by said first and second gripping members, and - an operative position, distanced from said rest position, such operative position being disposed so that the blade of the cutter must move along an ideal cutting plane and crosses the film for arriving to the same operative position.