01 - Combine rinsed sushi 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 the vinegar mixture. Cool to room temperature before assembling.
02 - Slice prosciutto into manageable pieces. Cut fresh mozzarella into thin strips. Slice roasted red bell pepper into uniform strips. Julienne sun-dried tomatoes. Wash and pat dry basil and arugula leaves. Keep all components separate and ready for assembly.
03 - Place nori sheet on bamboo sushi mat, shiny side down. With wet hands, spread thin, even layer of cooled rice over nori, leaving 1-inch border at top. Arrange prosciutto, mozzarella strips, roasted peppers, sun-dried tomatoes, arugula, and basil along bottom third. Drizzle with olive oil and season with black pepper.
04 - Using bamboo mat, roll sushi tightly away from you, applying firm pressure. Seal edge with water. Repeat with remaining ingredients. With sharp, damp knife, slice each roll into 6 equal pieces. Clean knife between cuts for clean edges.
05 - Arrange sushi pieces on serving platter. Drizzle with balsamic glaze if desired and garnish with fresh basil leaves. Serve immediately while rice remains at room temperature and cheese is fresh.