We probably have the same model because ours does the same thing. I think it is from ice left in the dispenser chute that does not come out and slowly melts and leaks out of the molding at the corner. I just clear the ice with my fingers at night when we are done using it for the day. I have found that a little soft scrub on a rag and a gentle circular rub will take away the white line that it leaves on the door.
Lisa
April 2007