Floating joint replacement device with supportive sidewall

A disc-shaped joint replacement device for replacing damaged soft tissue at a host joint, the device comprising:

• a first component comprising a first tissue-interface surface shaped to free-floatingly interface with a first tissue structure of the joint, the first tissue-interface surface comprising a concave shape arranged to receive the first tissue structure, wherein the first component further comprises a top surface, a bottom surface, and a first outer wall extending between the top surface and the bottom surface;
• and
• a second component comprising a second tissue-interface surface shaped to free-floatingly interface with a second tissue structure of the joint opposing the first tissue structure, the second component having a containment cavity receiving at least a portion of the first component therein, wherein the second component further comprises a second outer wall,
• wherein the first and second components together have a disc-shape, and
• wherein a size of the first component is less than a size of the second component such that the first outer wall does not extend over the second outer wall.