An adjustable button/loop construct (10) for tissue reconstruction. The button/ loop construct (10) with a flexible, adjustable loop (3) is connected to tissue (for example, a graft, ligament or tendon). The adjustable loop (3) may be integrated with fixation devices or graft supporting devices (for example, wedges or plugs). The graft or ligament is secured in bone sockets/tunnels by passing the button(s) (20) of the construct through the bone socket(s)/tunnel(s) and flipping and seating the button(s) (20) outside the bone. The length of the flexible adjustable loop(s) (3) is then adjusted to secure the graft or ligament within the bone socket(s)/tunnel(s).