01 - Rinse sushi rice under cold water until water runs clear. Combine rinsed rice with 2 cups water in a saucepan. Bring to a boil, cover tightly, reduce heat and simmer for 15 minutes. Remove from heat and let stand covered for 10 minutes. Meanwhile, dissolve sugar and salt in rice vinegar. Fluff cooked rice with a fork and fold in vinegar mixture. Spread rice on a baking sheet to cool to room temperature, stirring occasionally to release steam.
02 - While rice cools, slice prosciutto into strips thin enough to roll. Cut fresh mozzarella into long, thin strips approximately ¼ inch wide. Slice roasted red bell peppers into uniform strips. Julienne sun-dried tomatoes if not already cut. Wash and thoroughly dry basil leaves and arugula. Keep all components separated on a cutting board for easy assembly.
03 - Place a nori sheet on a bamboo sushi mat with the shiny side facing down. Moisten hands with water and spread a thin, even layer of cooled sushi rice over the nori, leaving a ¾-inch empty border at the top edge. Arrange prosciutto, mozzarella strips, roasted peppers, sun-dried tomatoes, arugula, and basil in a horizontal line along the bottom third of the rice. Drizzle with olive oil and sprinkle with black pepper.
04 - Using the bamboo mat, lift the edge closest to you and roll tightly away from your body, applying gentle pressure to create a compact cylinder. Seal the final edge with a small amount of water. Repeat with remaining nori sheets and fillings. Using a sharp knife moistened with water, slice each roll into 6 equal pieces, wiping the blade clean between cuts.
05 - Arrange sliced pieces on a serving platter, cut sides facing upward. Drizzle with balsamic glaze if desired and garnish with additional fresh basil leaves. Serve immediately at room temperature for optimal texture and flavor profile.