A transferring assembly for transferring onto an object a RFID identification device consisting of a microchip connected to an antenna made of electrically conductive material, wherein a film of adhesive material is applied to a supporting element, the microchip is applied on the film of adhesive material in a zone of the supporting element, the antenna is formed by applying the wire made of electrically conductive material to the film of adhesive material and electrically connecting the antenna to the microchip, and the zone is pressed against a surface of the object, with the RFID identification device facing the surface, the adhesive material, and/or the supporting element, being chosen so that the adhesive material has an adhesiveness on the surface of the object that is significantly greater than the adhesiveness of the film on the supporting element.