Method and system for modifying a refractive profile associated with an eye having a recipient cornea. The method includes obtaining a corneal tissue inlay from a donor cornea, forming a recipient bed in the recipient cornea, and positioning the corneal tissue inlay into the recipient bed to correct the refractive profile of the eye with the refractive profile of the corneal tissue. The system includes a laser assembly outputting a pulsed laser beam, and a controller coupled to the laser assembly. The controller directs the laser assembly to incise a corneal tissue inlay from a donor cornea, form a recipient bed in the recipient cornea having a contour matching the contour of the inlay, register the inlay with the recipient bed, determine a position of the inlay, and determine a position change for the inlay based on the position of the inlay to align the refractive profile of the inlay with the refractive profile of the eye.