Cut eggplant crosswise about 1/4 inch thick.  Scramble 2 eggs.  Place bread crumbs on plate and add 1/2 cup of grated palmesan cheese.  Place each  slice of eggplant in egg, on both sides, and then coat with bread crub mixture. Place on flat pan, add lightly, extra virgin olive oil over each slice of eggplant  and place under broiler until crispy brown and turn over and brown the other side.  Remove pan and add a slice of mozzarella cheese on each slice and a slice of fresh tomato on top of cheese. Place in hot oven(375 degrees) until cheese melts, about five minutes.  Serve warm.