A collecting system for picking up die-cut blanks from a store, wherein the die-cut blanks comprise a central portion delimited by longitudinal and transversal score lines, the system comprising: a gripping device, for gripping and picking up a die-cut blank from the store; a transport means, for receiving the die-cut blank picked up by the gripping device, comprising a frame, a first conveyor means and a second conveyor means borne by the frame and arranged parallel to one another, a first series of abutment elements mounted at a distance from one another on the first conveyor means and configured in such a way as to be able to be reciprocally moved away from one another, a second series of abutment elements mounted distanced from one another on the second conveyor means and configured in such a way as to be able to be reciprocally moved away from one another, wherein the first series of abutment elements and the second series of abutment elements define between one another seats for receiving the central portion of the die-cut blank picked up by the gripping device from the store, the second conveyor means being mounted on the frame in such a way as to be movable with respect to the frame when nearing or moving away from the first conveyor means; wherein the gripping device comprises: a first arm and a second arm, a first series of suction gripping elements, predisposed along the first arm, and a second series of suction gripping elements, predisposed along the second arm, the gripping device being configured so that the first arm and the second arm can be activated in rotation about a rotation shaft between a first raised position, wherein the first arm and the second arm are facing the die-cut blank so as to grip the die-cut blank by suction, with relative suction gripping elements (110, 120), and a second lowered position wherein the first arm and the second arm are arranged with respect to the first conveyor means and the second conveyor means in a position that is such as to position the central portion of the die-cut blank in a seat and to release the die-cut blank in the seat following the deactivation of the suction gripping elements (110, 120), characterised in that the second arm is mounted in such a way as to be longitudinally translatable with respect to the rotation shaft and in that it comprises connecting means between the second arm and the second conveyor means, the connecting means are configured so that the second arm can be activatable in rotation about the rotation shaft and, further, can be translated longitudinally with respect to the rotation shaft in nearing or moving away from the first arm, when the second conveyor means is moved with respect to the frame in nearing or moving away from the first conveyor means. a gripping device, for gripping and picking up a die-cut blank from the store; a transport means, for receiving the die-cut blank picked up by the gripping device, comprising a frame, a first conveyor means and a second conveyor means borne by the frame and arranged parallel to one another, a first series of abutment elements mounted at a distance from one another on the first conveyor means and configured in such a way as to be able to be reciprocally moved away from one another, a second series of abutment elements mounted distanced from one another on the second conveyor means and configured in such a way as to be able to be reciprocally moved away from one another, wherein the first series of abutment elements and the second series of abutment elements define between one another seats for receiving the central portion of the die-cut blank picked up by the gripping device from the store, the second conveyor means being mounted on the frame in such a way as to be movable with respect to the frame when nearing or moving away from the first conveyor means; wherein the gripping device comprises: a first arm and a second arm, a first series of suction gripping elements, predisposed along the first arm, and a second series of suction gripping elements, predisposed along the second arm, the gripping device being configured so that the first arm and the second arm can be activated in rotation about a rotation shaft between a first raised position, wherein the first arm and the second arm are facing the die-cut blank so as to grip the die-cut blank by suction, with relative suction gripping elements (110, 120), and a second lowered position wherein the first arm and the second arm are arranged with respect to the first conveyor means and the second conveyor means in a position that is such as to position the central portion of the die-cut blank in a seat and to release the die-cut blank in the seat following the deactivation of the suction gripping elements (110, 120), characterised in that the second arm is mounted in such a way as to be longitudinally translatable with respect to the rotation shaft and in that it comprises connecting means between the second arm and the second conveyor means, the connecting means are configured so that the second arm can be activatable in rotation about the rotation shaft and, further, can be translated longitudinally with respect to the rotation shaft in nearing or moving away from the first arm, when the second conveyor means is moved with respect to the frame in nearing or moving away from the first conveyor means.