An assembly for packaging products of the type comprising at least one line for supplying the products to be packaged, at least one dispenser of covering sheets, a plurality of handling devices for juxtaposing a said sheet on a respective product, and at least one output line for the packaged products, said handling devices comprising: - at least one pusher for the translation of said at least one product along a trajectory that is incident to said at least one respective sheet aligned therewith and with contrasts for folding said at least one sheet on said at least one product; - at least one pair of clamping jaws for the forced juxtaposition of the mutually opposite flaps of said at least one sheet; - at least one abutment for folding the portions of said juxtaposed flaps that are arranged at the sides of said product, with consequent alignment of said flaps with one face of said at least one product so as to constitute a bundle of gathered flaps; - at least one contoured clamping plate for the transverse compaction of said bundle of gathered flaps, said at least one plate being provided with at least one heater for the controlled increase of its temperature; the assembly being characterized in that it further comprises: - at least one movable gripper for picking up at least one individual product from said at least one supply line and for aligning it with at least one respective packaging sheet; - the surfaces of said jaws that abut against said at least one sheet having a complementarily shaped embossing for the penetration of the raised portions of one jaw in the complementarily shaped recesses of the other jaw and vice versa, with the interposition of said flaps. - at least one pusher for the translation of said at least one product along a trajectory that is incident to said at least one respective sheet aligned therewith and with contrasts for folding said at least one sheet on said at least one product; - at least one pair of clamping jaws for the forced juxtaposition of the mutually opposite flaps of said at least one sheet; - at least one abutment for folding the portions of said juxtaposed flaps that are arranged at the sides of said product, with consequent alignment of said flaps with one face of said at least one product so as to constitute a bundle of gathered flaps; - at least one contoured clamping plate for the transverse compaction of said bundle of gathered flaps, said at least one plate being provided with at least one heater for the controlled increase of its temperature; the assembly being characterized in that it further comprises: - at least one movable gripper for picking up at least one individual product from said at least one supply line and for aligning it with at least one respective packaging sheet; - the surfaces of said jaws that abut against said at least one sheet having a complementarily shaped embossing for the penetration of the raised portions of one jaw in the complementarily shaped recesses of the other jaw and vice versa, with the interposition of said flaps. - at least one movable gripper for picking up at least one individual product from said at least one supply line and for aligning it with at least one respective packaging sheet; - the surfaces of said jaws that abut against said at least one sheet having a complementarily shaped embossing for the penetration of the raised portions of one jaw in the complementarily shaped recesses of the other jaw and vice versa, with the interposition of said flaps.