Step 1: Prepare the Olive Salad

1. Chop the Ingredients: In a medium bowl, combine the green olives, kalamata olives, roasted red bell peppers, pepperoncini, capers, cauliflower florets, and carrots (if using).
2. Add Seasonings: Stir in the minced garlic, oregano, and black pepper.
3. Mix the Dressing: In a small bowl, whisk together the olive oil and red wine vinegar.
4. Combine Everything: Pour the olive oil and vinegar mixture over the chopped vegetables and olives. Mix everything together well.
5. Marinate: Let the olive salad sit for at least 30 minutes at room temperature (or refrigerate for several hours) to allow the flavors to meld. This salad can be made up to a day in advance for even better flavor.

Step 2: Slice the Bread

1. Take your round loaf of muffuletta bread (or Italian sesame seed bread) and slice it in half horizontally, creating a top and bottom piece. If the bread is very thick, you can hollow out some of the soft interior to make more room for the filling.

Step 3: Layer the Ingredients

1. Start with Olive Salad: Spread a generous amount of the prepared olive salad on the bottom half of the bread. Make sure to include some of the oil to soak into the bread.
2. Add the Meats: Layer the Genoa salami, mortadella, and ham on top of the olive salad. Make sure to spread the meats evenly over the entire surface.
3. Add the Cheese: Place slices of provolone cheese on top of the meats. If you prefer, you can add Swiss cheese as a variation.

Step 4: Top with More Olive Salad

1. Spoon another layer of olive salad on top of the cheese. Again, make sure to drizzle some of the oil from the salad over the sandwich to ensure the bread absorbs all the wonderful flavors.

Step 5: Close the Sandwich

1. Place the top half of the bread back onto the sandwich and press down gently to compact the layers.

Step 6: Wrap and Let It Rest

1. Wrap the Sandwich: For the best flavor, wrap the sandwich tightly in plastic wrap or parchment paper. This helps the olive oil and salad ingredients soak into the bread and lets the flavors blend together.
2. Rest the Sandwich: Allow the sandwich to sit for at least 30 minutes to 1 hour at room temperature. If you want to make it ahead, you can refrigerate it for up to 24 hours—just be sure to bring it to room temperature before serving.

Step 7: Slice and Serve

1. When you’re ready to serve, unwrap the sandwich and cut it into quarters or eighths, depending on how large the loaf is and how big you want each serving to be.