Rolling machine (1; 101) for sheets, comprising: - an upper roller which is mounted for rotation, about its central axis, on a frame (10; 110) of the rolling machine, - two lower rollers (31, 32) which are each mounted for rotation, about their respective central axis (X31, X32), on the frame (10; 110) and the central axes of which are substantially parallel to the central axis of the upper roller and are arranged both beneath and on either side of the central axis of the upper roller, - drive means which are adapted to set each of the upper and lower (31, 32) rollers in rotation about their respective central axis (X20, X31, X32), - displacement means which are adapted to displace the upper roller vertically relative to the lower rollers (31, 32), and - a bending device (70; 170) which is provided for bending the edge of the sheets and which is integrated into the rolling machine so that actuators (72, 74, 77; 74, 172.1, 172.2) belonging to the bending device control the passage of the bending device between: - a working configuration, in which the bending device is adapted to bend, under the action of the displacement means, a sheet edge (2.1, 2.2) placed directly below the upper roller, and - a retracted configuration, in which the bending device is moved aside with respect to the upper and lower (31, 32) rollers so that a sheet is able to be rolled between them, characterised in that the bending device (70; 170) comprises a matrix (71; 171) and a stamp which are each movably mounted on the frame (10; 110) to be displaceable by at least a first (72; 172.1, 172.2) of the actuators and by at least a second of the actuators, respectively, so that: - in the working configuration, the matrix (71; 171) is arranged vertically and horizontally between the lower rollers (31, 32), while being fixed in position vertically downwards relative to the frame, while the stamp is placed against the underside of the upper roller so that, when the displacement means are actuated, it is driven vertically downwards by the upper roller until it bends, between the stamp and the matrix, a sheet edge (2.1, 2.2) placed directly below the upper roller, and - in the retracted position, the matrix (71; 171) and the stamp are moved aside with respect to the upper and lower (31, 32) rollers so that a sheet can be rolled between the upper and lower rollers. - an upper roller which is mounted for rotation, about its central axis, on a frame (10; 110) of the rolling machine, - two lower rollers (31, 32) which are each mounted for rotation, about their respective central axis (X31, X32), on the frame (10; 110) and the central axes of which are substantially parallel to the central axis of the upper roller and are arranged both beneath and on either side of the central axis of the upper roller, - drive means which are adapted to set each of the upper and lower (31, 32) rollers in rotation about their respective central axis (X20, X31, X32), - displacement means which are adapted to displace the upper roller vertically relative to the lower rollers (31, 32), and - a bending device (70; 170) which is provided for bending the edge of the sheets and which is integrated into the rolling machine so that actuators (72, 74, 77; 74, 172.1, 172.2) belonging to the bending device control the passage of the bending device between: - a working configuration, in which the bending device is adapted to bend, under the action of the displacement means, a sheet edge (2.1, 2.2) placed directly below the upper roller, and - a retracted configuration, in which the bending device is moved aside with respect to the upper and lower (31, 32) rollers so that a sheet is able to be rolled between them, - a working configuration, in which the bending device is adapted to bend, under the action of the displacement means, a sheet edge (2.1, 2.2) placed directly below the upper roller, and - a retracted configuration, in which the bending device is moved aside with respect to the upper and lower (31, 32) rollers so that a sheet is able to be rolled between them, - in the working configuration, the matrix (71; 171) is arranged vertically and horizontally between the lower rollers (31, 32), while being fixed in position vertically downwards relative to the frame, while the stamp is placed against the underside of the upper roller so that, when the displacement means are actuated, it is driven vertically downwards by the upper roller until it bends, between the stamp and the matrix, a sheet edge (2.1, 2.2) placed directly below the upper roller, and - in the retracted position, the matrix (71; 171) and the stamp are moved aside with respect to the upper and lower (31, 32) rollers so that a sheet can be rolled between the upper and lower rollers.