In bowl stir together egg yolk, wine, and soy sauce. Add chopped mushrooms, green onion, parsley, thyme, and pepper; mix well.
Broil chops 5 inches from heat for 12 minutes. Turn chops over and broil 4 minutes more. Spoon 2-3 tablespoons mushroom mixture evenly on each chop.
If desired, spoon a small amount of mixture into each mushroom cap and place them alongside the chops. Broil 3-5 minutes more or until chops are done (slightly pink in center and 155-160 degrees F internal temperature). Serve mushroom caps with chops.