A corneal transplant involves the removal of the central portion of the diseased cornea, which is replaced with a healthy donor cornea. First, you are given eye drops and medication to help you relax. Next, the central, damaged part of the cornea is carefully removed from the eye. Finally, the healthy donor cornea is securely sutured into place. Once your cornea transplant is completed, medications are prescribed to help control infection, swelling and pain as well as prevent corneal graft rejection. Corneal transplantation surgery has a high success rate. The most common complication is rejection of the new cornea.