Cover; refrigerate at least 1 hour to blend flavors.
In blender or food processor, place peas, water and pepper sauce.
Cover; blend or process until smooth.
Cut 1⁄2-inch slice from top of each roll; set aside.
Remove soft bread from inside of each roll to within 1⁄2 inch of edge; reserve bread trimmings for another use.
Spread about 1⁄4 cup pea mixture in each roll.
Top pea mixture in each with cheese slice, tomato slice and scant 2 tablespoons salad.
Spoon remaining pea mixture and salad evenly into each.
Cover with tops of rolls.
Notes / Tips / Wine Advice:
In 1906, the Central Grocery in New Orleans created the muffuletta, a wonderful specialty sandwich. It combines meats and cheeses, but it’s the olive salad that makes it unique. Our vegetarian version keeps the olive salad but replaces the meat with a spicy, mashed black-eyed pea mixture