01 - Rinse sushi rice under cold water until water runs clear. Combine rice and water in a saucepan, bring to a boil, cover, and simmer for 15 minutes. Remove from heat and let stand covered for 10 minutes. Dissolve sugar and salt in rice vinegar, then fluff rice with a fork and stir in vinegar mixture. Cool to room temperature before using.
02 - While rice cools, slice prosciutto into strips, cut fresh mozzarella into thin strips, julienne roasted red bell peppers, and slice sun-dried tomatoes. Keep fresh basil and arugula leaves ready for assembly.
03 - Place nori sheet on bamboo sushi mat with shiny side down. With damp hands, spread a thin, even layer of seasoned sushi rice over nori, leaving a ¾-inch edge at the top. Arrange prosciutto, mozzarella strips, roasted peppers, sun-dried tomatoes, arugula, and basil along the bottom third of the rice. Drizzle with olive oil and sprinkle with black pepper.
04 - Use the bamboo mat to roll sushi tightly away from you, applying firm pressure. Seal the edge with a small amount of water. Repeat with remaining ingredients. Using a sharp, damp knife, slice each roll into 6 equal pieces.
05 - Arrange sushi pieces on a serving platter. Optionally drizzle with balsamic glaze and garnish with additional fresh basil leaves. Serve immediately while rice remains at room temperature.