A grinding station comprising: - an assembly for machining at least one concrete block to be bonded including a surface to be machined, said surface to be machined comprising a first edge and a second edge opposite the first edge, said assembly for machining comprising: - a frame intended to be fixed relative to a support, - at least one machining device connected to the frame and comprising a machining tool including an abrasive belt, - a conveying device arranged to convey the at least one concrete block disposed on a molding panel to the assembly according to an advancing direction of the at least one concrete block substantially parallel to the surface to be machined of the concrete block, said grinding station being characterized in that the machining device is movable relative to the frame, and in that it comprises: - a displacement device for displacing the abrasive belt of the machining tool relatively to the at least one concrete block to be machined, the displacement device being arranged to displace the abrasive belt of the machining tool according to a cycle comprising at least: - a first position in which the abrasive belt of the machining tool is remote from said surface to be machined of the at least one concrete block, - a second position in which the abrasive belt of the machining tool is in contact with the first edge of said surface to be machined of the at least one concrete block, - a third position in which the abrasive belt of the machining tool is in contact with the second edge of said surface to be machined of the at least one concrete block. - an assembly for machining at least one concrete block to be bonded including a surface to be machined, said surface to be machined comprising a first edge and a second edge opposite the first edge, said assembly for machining comprising: - a frame intended to be fixed relative to a support, - at least one machining device connected to the frame and comprising a machining tool including an abrasive belt, - a frame intended to be fixed relative to a support, - at least one machining device connected to the frame and comprising a machining tool including an abrasive belt, - a conveying device arranged to convey the at least one concrete block disposed on a molding panel to the assembly according to an advancing direction of the at least one concrete block substantially parallel to the surface to be machined of the concrete block, said grinding station being characterized in that the machining device is movable relative to the frame, and in that it comprises: - a displacement device for displacing the abrasive belt of the machining tool relatively to the at least one concrete block to be machined, the displacement device being arranged to displace the abrasive belt of the machining tool according to a cycle comprising at least: - a first position in which the abrasive belt of the machining tool is remote from said surface to be machined of the at least one concrete block, - a second position in which the abrasive belt of the machining tool is in contact with the first edge of said surface to be machined of the at least one concrete block, - a third position in which the abrasive belt of the machining tool is in contact with the second edge of said surface to be machined of the at least one concrete block. - a displacement device for displacing the abrasive belt of the machining tool relatively to the at least one concrete block to be machined, the displacement device being arranged to displace the abrasive belt of the machining tool according to a cycle comprising at least: - a first position in which the abrasive belt of the machining tool is remote from said surface to be machined of the at least one concrete block, - a second position in which the abrasive belt of the machining tool is in contact with the first edge of said surface to be machined of the at least one concrete block, - a third position in which the abrasive belt of the machining tool is in contact with the second edge of said surface to be machined of the at least one concrete block. - a first position in which the abrasive belt of the machining tool is remote from said surface to be machined of the at least one concrete block, - a second position in which the abrasive belt of the machining tool is in contact with the first edge of said surface to be machined of the at least one concrete block, - a third position in which the abrasive belt of the machining tool is in contact with the second edge of said surface to be machined of the at least one concrete block.