An intervertebral fusion implant comprising: a body defining a longitudinal axis (L) and extending between a first end and a second end , the body defining a first wall configured for engaging a first vertebral surface and a second wall configured for engaging a second vertebral surface, the first wall being connected to the second wall , wherein the first wall is movable relative to the second wall such that the body is deformable from a first, initial implanted configuration such that the body is disposed between the first vertebral surface and the second vertebral surface for fixation thereof and a second configuration such that the body is deformed relative to the first configuration in a self-adjusting manner to adapt to an orientation of the first vertebral surface and the second vertebral surface, wherein the first wall is connected to the second wall adjacent the first end such that the walls extend from the first end in a cantilevered configuration, the walls extend in a linear orientation along the longitudinal axis (L) from the first end , and the walls extend in an arcuate configuration from the first end with convex upper and lower outer wall surfaces , wherein the first wall defines an arcuate inner surface and the second wall defines an arcuate inner surface , the inner surface of the first wall being arcuately shaped in a concave configuration, the inner surface of the second wall being arcuately shaped in a convex configuration, the inner surfaces defining a deformation cavity having an arcuate configuration, and the first and second walls being configured to collapse in the deformation cavity such that the body selectively deforms in a range between a spaced apart distance (d1) between the first and second walls and engagement of the first and second walls . a body defining a longitudinal axis (L) and extending between a first end and a second end , the body defining a first wall configured for engaging a first vertebral surface and a second wall configured for engaging a second vertebral surface, the first wall being connected to the second wall , wherein the first wall is movable relative to the second wall such that the body is deformable from a first, initial implanted configuration such that the body is disposed between the first vertebral surface and the second vertebral surface for fixation thereof and a second configuration such that the body is deformed relative to the first configuration in a self-adjusting manner to adapt to an orientation of the first vertebral surface and the second vertebral surface, wherein the first wall is connected to the second wall adjacent the first end such that the walls extend from the first end in a cantilevered configuration, the walls extend in a linear orientation along the longitudinal axis (L) from the first end , and the walls extend in an arcuate configuration from the first end with convex upper and lower outer wall surfaces , wherein the first wall defines an arcuate inner surface and the second wall defines an arcuate inner surface , the inner surface of the first wall being arcuately shaped in a concave configuration, the inner surface of the second wall being arcuately shaped in a convex configuration, the inner surfaces defining a deformation cavity having an arcuate configuration, and the first and second walls being configured to collapse in the deformation cavity such that the body selectively deforms in a range between a spaced apart distance (d1) between the first and second walls and engagement of the first and second walls . <EOS>