Unplug the refrigerator from the wall outlet. Use a Phillips screwdriver to remove the service panel covering the evaporator coil from the back of the unit.
Pop the clamps off of the evaporator coil with a slotted screwdriver. Locate the leak on the coil. Bent or ruptured spots are the No. 1 suspect. Apply a liquid soap to the spot and look for bubbles, which will indicate a leak.
Clean the leak with sandpaper. Remove any flakes or dust near the material. Wipe down the leak with a clean rag.
Connect a vacuum pump to the service valve on the refrigerator, found at the bottom of the unit. Press epoxy to the leak, and wrap the epoxy all around the leaking pipe. Allow the epoxy to dry for three minutes.
Turn on the vacuum gauge, and drain the coil to 10 inches mercury vacuum. The vacuum will bring all the air out of the system. Reassemble the refrigerator, then plug it back into the wall.