Begin by assembling all of the ingredients. Split the Italian rolls or buns in half, open them up, and place them on a large cutting board. Dividing the vegetables evenly among the rolls, place them in the order listed, on the bottom half of the rolls. To taste, drizzle a little olive oil and red wine vinegar over the vegetables, and then season them generously with the oregano and pepper. Place a slice of vegan cheese on top of each and replace the top half of the roll or bun. Slice each sub sandwich in half and serve.
*Variation: add additional vegetables and seasonings, as desired to suit personal tastes. Also good with a little mustard and crushed red pepper flakes for a spicy twist.
Yield: 6 sandwiches