A die press assembly (14) for pressing carbide steel cutting inserts for cutting tools comprising a lower clamp (8, 13) for clamping and holding a lower punch (7), a die clamp (6, 11) for clamping and holding a die (5) and a core pin clamp (10, 12) for clamping and holding a core pin (9), where the lower punch (7), the die (5) and the core pin (9) each have a bore or a recess (16, 30, 31, 32) for receiving a locking device (17).