Abstract: The press comprises at least one final pressing station with a standing press comprising one upper pressing plate and one lower pressing plate; the plates are fitted on coaxial coupling attachments (202) and turned on the vertical axis X—X with the bale after final pressing; a lateral sheet (T10) is unwound from a vertical axis reel (206) and is wrapped laterally on the bale, at least partially, by effect of the rotation of the pressing plates, obtained by the presence of the coupling attachments; a cutting device and fasteners (208, 228) for temporary fastening of the ends of the piece (TS) of sheet (T10) to the plates of the press, for binding are provided.