Creating the Italian Grinder Sandwich is a straightforward process if you follow these simple steps:

1. Prepare the Dressing: In a small bowl, whisk together the olive oil, red wine vinegar, dried oregano, salt, and pepper. Set aside.
2. Slice the Rolls: Cut the hoagie rolls in half lengthwise, being careful not to cut all the way through.
3. Layer the Meats: On the bottom half of each roll, layer the salami, capicola, and mortadella.
4. Add Cheese: Place the provolone cheese slices on top of the meats.
5. Add Vegetables: Top the cheese with shredded lettuce, tomato slices, red onion, and banana peppers if using.
6. Drizzle Dressing: Generously drizzle the prepared dressing over the vegetables to enhance flavor.
7. Close the Sandwich: Place the top half of the hoagie roll over the filled bottom half.
8. Press and Cut: Gently press down on the sandwich to compact the ingredients, then cut in half for easier serving.
9. Serve Immediately: Enjoy the sandwiches fresh or wrap them in parchment paper for later.

These steps will guide you in effortlessly creating this incredible sandwich that is sure to impress!