To prepare either version of the olive salad, mix all the ingredients in a bowl. Cover, and refrigerate several hours or overnight, to let the flavors develop. This makes more salad than you need for one 8-inch sandwich. Extra olive salad will keep for a week or more and can be used in salads, sandwiches, etc.
Step 2
Lay the bottom of the muffuletta bread on a work surface, cut side up. Layer half of the cheeses and meats on the bread, then spread with 1/2 cup of the olive salad. Top with the remaining meats and cheeses.Finish with another 1/2 cup olive salad. Place top of bread on olive salad, and press down. Cut into four wedges.