Wash and chop the romaine lettuce into bite-sized pieces. Slice the tomatoes into wedges, peel and slice the onions thin, and cut the banana peppers into rings. Place all in a large mixing bowl.

Slice the salami and ham into strips of uniform thickness.

In the large bowl with the vegetables, add the sliced salami, ham, and shredded cheese. Toss lightly to combine.

In a separate bowl, combine mayonnaise, red wine vinegar, olive oil, and Italian seasoning. Whisk until smooth, and season with salt and pepper.

Drizzle the dressing over the salad and toss gently until well combined.

Transfer to a serving dish and enjoy immediately or chill for 15 minutes before serving.