Spread each tortilla with one-third of the cream cheese. Cover cream cheese with a layer of basil leaves, leaving a 1-inch border. Arrange roasted red peppers on basil leaves. Top with sliced meat. Divide mayonnaise among tortillas, spreading over meat.

Roll up each tortilla tightly into a spiral. Cut each tortilla roll in half crosswise. Wrap in plastic wrap; chill for up to 4 hours. Tote in an insulated cooler with ice packs. Makes 6 servings.