A self-adhering contact lens made of flexible material for adhering to cornea and scleral regions of the eye includes a central lens portion optically shaped for viewing interior regions of the eye. The central lens portion has an interior concave surface with a radius of curvature R1 for contacting the cornea. An outer flange formed integrally with the central lens portion extends radially outwardly from the central lens portion. The outer flange has an interior concave surface extending from the interior concave surface of the central lens portion. The interior concave surface of the outer flange is designed to contact the sclera and has a radius of curvature R2 that is greater than the radius R1 of. The outer flange is shaped for deflecting relative to the central lens portion for conforming the interior concave surface of the outer flange to the sclera.
