Prepare the grinder salad by adding mayonnaise, red wine vinegar, garlic powder, oregano, salt, and pepper to a large bowl. Whisk to combine.

Add the lettuce, red onion, and banana peppers to the bowl. Combine thoroughly.

Assemble the sandwiches by dividing the salami, pepperoni, and turkey among the rolls. Add the cheese on top of the meats.

Broil the sandwiches for 2-3 minutes until the cheese is melted and the meat is crisped up.

Remove the subs from the oven and add tomato slices to the sandwiches. Season with salt and pepper.

Add a generous amount of grinder salad to each sandwich and top with parmesan cheese.

Close the sandwiches, cut in half, and enjoy.