An apparatus for anchoring at least two graft ligaments within a longitudinal bone tunnel includes a longitudinal sleeve having at least two ligament-contacting surfaces located in lateral opposition to a sleeve inner lumen. The sleeve is configured for at least partial insertion into the bone tunnel with each graft ligament positioned laterally adjacent a different ligament-contacting surface and at least partially located between the bone tunnel and the sleeve. An actuating member has proximal and distal actuating member ends. An asymmetrically offset profile is defined by the sleeve and/or the actuating member. The asymmetrically offset profile has engagement thresholds. The actuating member is inserted into the sleeve to cause frictional engagement of each graft ligament with both the bone tunnel and at least one ligament-contacting surface, the frictional engagement of each graft ligament being temporally spaced apart from the frictional engagement of at least one other graft ligament.
