A method of making a surgical suture having a reformed tip includes providing an elongated fiber having a first end, a second end, a central axis extending between the first and second ends thereof, and an outer surface that defines a cross-sectional dimension of the elongated fiber, and compressing a center region of the elongated fiber that is located between the first and second ends thereof for reshaping the center region into a core mass and a deformed mass that extends laterally outside the cross-sectional dimension of said elongated fiber. The method includes separating the deformed mass of the center region from the core mass of the center region so that only the core mass remains for interconnecting the first and second ends of the elongated fiber, and after separating the deformed mass from the core mass, reshaping the core mass into a reformed mass having a reformed mass central axis that is offset from the central axis of the elongated fiber.
