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 fork and stir in vinegar mixture. Cool to room temperature.
02 - While rice cools, slice prosciutto, mozzarella, roasted pepper, and sun-dried tomatoes into thin strips. Keep fresh basil and arugula leaves ready for assembly.
03 - Place nori sheet on bamboo sushi mat with shiny side down. With wet hands, spread a thin even layer of 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 bottom third of rice. Drizzle with olive oil and sprinkle with black pepper.
04 - Use the mat to roll sushi tightly away from you. Seal edge with a little water. Repeat with remaining ingredients. Using a sharp damp knife, slice each roll into 6 pieces.
05 - Arrange sushi pieces on a platter. Optionally drizzle with balsamic glaze and garnish with additional fresh basil. Serve immediately for best flavor and texture.