01 -
Combine olives, giardiniera, roasted red peppers, parsley leaves, capers, and minced garlic in the bowl of a food processor. Pulse to chop until no pieces larger than 1/2-inch remain. Transfer the mixture to a bowl. Add olive oil and red wine vinegar and stir to combine. For best results, let the olive salad rest overnight in the refrigerator before assembling the sandwich.
02 -
Split the muffuletta roll in half horizontally and spread each cut surface generously with the olive salad, making sure to include the juices when spreading for maximum flavor.
03 -
Layer half of the soppressata on the bottom half of the bun, followed by half of the mortadella, half of the capicola, and half of the provolone. Repeat layers with remaining meat and cheese to create a substantial filling.
04 -
Close the sandwich and press down gently to compress all the layers together. For best flavor development, wrap the sandwich tightly in paper or plastic and let it rest for at least 1 hour before serving. This resting time allows the bread to absorb the olive salad juices and the flavors to meld together.
05 -
When ready to serve, cut the sandwich into triangular wedges and enjoy this classic New Orleans specialty.