Place each loaf of bread dough in a greased bread pan. Cover with greased saran wrap and let rise until doubled.
Punch down. Roll each loaf into a 15x12-in. rectangle.
In a bowl, combine eggs, oil and seasonings.
Brush over dough to within 1/2 inch of edges; set remaining egg mixture aside.
Saute onion, pepper and mushrooms in 2 T. butter.
Arrange sausage, salami, ham, cheeses, onion, peppers and mushrooms on dough to within 1/2 inch of edges.
Roll up, jelly-roll style, beginning with a long side. Seal the edges well.
Place seam side down on greased baking sheet.
Brush with remaining egg mixture. Bake at 375 degrees F. for 30-35 minutes or until lightly browned.
Let stand for 5-10 minutes before cutting.