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. Slice roasted red bell pepper into strips. Julienne sun-dried tomatoes. Wash and dry basil leaves and arugula. Keep all components organized and ready for assembly.
03 - Place a nori sheet on a bamboo sushi mat with shiny side down. With wet hands, spread a thin, even layer of seasoned rice over nori, leaving a 2-inch gap 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 rice. Drizzle with olive oil and sprinkle with black pepper.
04 - Use the bamboo mat to roll sushi tightly away from you, applying gentle pressure to form a compact cylinder. Seal the top edge with a few drops of water. Repeat with remaining ingredients. Using a sharp, damp knife, slice each roll into 6 equal pieces, wiping knife clean between cuts.
05 - Arrange sliced sushi rolls on a serving platter. Optionally drizzle with balsamic glaze and garnish with additional fresh basil leaves. Serve immediately at room temperature for best texture and flavor.