Spray counter lightly with non-stick cooking spray. Combine 8 rolls and roll into an 11x15 inch rectangle. Place in the bottom of a sprayed 9x13 inch baking pan. Poke with a fork several times to prevent bubbles from forming. Bake at 350°F 10-12 minutes.
Remove from oven and layer 8 slices of cheese over the baked dough. Lay corned beef on top of cheese. Combine dressing, 1 teaspoon caraway seeds, salt, pepper and sauerkraut. Spread mixture over meat. Layer the remaining 8 slices of cheese over the sauerkraut.
Combine remaining 8 rolls and roll into another 11x15 inch rectangle. Place dough on top of the cheese. Brush with beaten egg and sprinkle with remaining caraway seeds. Bake at 350°F 20-25 minutes or until top is golden brown. Let cool slightly before cutting.