Reverdin is credited with performing the first skin allograft, and in 1869 while working in Paris, introduced the "pinch graft", which is a procedure for removing tiny pieces of skin from a healthy area of the body and seeding them in a location that needs to be covered. This procedure is sometimes referred to as a "Reverdin graft". His name is also associated with the "Reverdin suture needle", which is a specialized surgical needle.
In 1882, with his cousin and assistant Auguste Reverdin (1848-1908), he observed that myxedema occurred as a delayed complication when the thyroid gland is surgically removed. He documented his findings in an article titled Note sur vingt-deux opérations de goitre, and on September 13, 1882 presented his observations to the Medical Society of Geneva.