There is described a device (1) of the reversible type for the connection and reconstruction of a ligament, comprising a central reconstruction portion (9) and two connecting portions (10a, 10b) at the two ends of said central portion (9), characterized in that said connection device is made of silicone, said central portion covers said two connecting portions (10a, 10b), said two connecting portions (10a, 10b) being generally grid-shaped for receiving fixing means adapted to fix said device (1) to said ligament, said device (1) further comprising an outer carbon coating (14).