A wrapping assembly of the type comprising a rotatable carousel provided with a plurality of radial grippers for immobilizing at least one product, with the interposition of at least one packaging sheet, and with a series of folding stations (4, 5, 6, 7) arranged along the trajectory of said grippers, for folding the flaps of said at least one sheet onto the at least one product in order to cover it, wherein it comprises, at a main folding station, - at least one pusher for immobilizing the at least one product partially covered with at least one respective sheet on said main folding station, said pusher comprising an abutment block arranged on the end of an arm that oscillates between a first, passive configuration, in which said block is spaced apart from the respective folding station, and an active configuration, in which said block is proximate to a fixed plate of said station, with the interposition between said block and said plate of said at least one product partially covered with the at least one respective sheet and the corresponding immobilization, - at least one actuation device for opening at least one of said grippers with consequent release of the respective at least one product, said actuation device comprising a controlled motor and a cam, each gripper comprising at least one arm which is provided with an idle end roller which can rotate on said cam, the rotation of the shaft of said controlled motor and therefore of said cam generating a movement of said arm by virtue of the action of said idle end roller with consequent opposite movement of the other arm functionally associated therewith, said movements defining the opening of said grippers, and - at least one folding lamina for juxtaposing a protruding flap of said at least one sheet on a side face of at least one respective product, thus providing a substantially tubular covering around the at least one product, characterized in that said controlled motor of said actuation device and said oscillating arm of said pusher are synchronized and controlled by a control and management unit such that said active configuration of said pusher and the said opening of said grippers being substantially simultaneous. - at least one pusher for immobilizing the at least one product partially covered with at least one respective sheet on said main folding station, said pusher comprising an abutment block arranged on the end of an arm that oscillates between a first, passive configuration, in which said block is spaced apart from the respective folding station, and an active configuration, in which said block is proximate to a fixed plate of said station, with the interposition between said block and said plate of said at least one product partially covered with the at least one respective sheet and the corresponding immobilization, - at least one actuation device for opening at least one of said grippers with consequent release of the respective at least one product, said actuation device comprising a controlled motor and a cam, each gripper comprising at least one arm which is provided with an idle end roller which can rotate on said cam, the rotation of the shaft of said controlled motor and therefore of said cam generating a movement of said arm by virtue of the action of said idle end roller with consequent opposite movement of the other arm functionally associated therewith, said movements defining the opening of said grippers, and - at least one folding lamina for juxtaposing a protruding flap of said at least one sheet on a side face of at least one respective product, thus providing a substantially tubular covering around the at least one product,