01 - Rinse sushi rice under cold running water until the water runs completely clear, about 3-4 changes. Combine rice and water in a medium saucepan and bring to a rolling boil over high heat. Immediately reduce heat to low, cover tightly, and simmer for 15 minutes until water is absorbed. Remove from heat and let stand, covered, for 10 minutes to complete steaming. Meanwhile, dissolve sugar and salt in rice vinegar, stirring until fully incorporated. Fluff cooked rice with a fork and gently fold in the vinegar mixture. Spread rice on a baking sheet or shallow dish to cool to room temperature, about 15-20 minutes.
02 - While rice cools, slice prosciutto into manageable strips if needed. Cut fresh mozzarella ball into thin, uniform strips approximately ¼-inch wide. Slice roasted red bell pepper into thin strips. Drain oil-packed sun-dried tomatoes and cut into julienne strips. Wash and thoroughly dry fresh basil leaves. Select 24 small, tender arugula leaves and pat dry. Keep all components separated on a cutting board or tray for easy assembly.
03 - Place a bamboo sushi rolling mat on a clean work surface. Lay one nori sheet shiny side down on the mat. Moisten hands with water to prevent sticking and grab about ¾ cup of cooled sushi rice. Spread rice evenly over the nori sheet, leaving a 1-inch empty border at the top edge. Press gently to create a uniform layer. Arrange prosciutto slices across the bottom third of the rice, followed by mozzarella strips, roasted pepper strips, sun-dried tomatoes, arugula leaves, and fresh basil. Drizzle with ½ teaspoon olive oil and season lightly with freshly ground black pepper.
04 - Using the bamboo mat, lift the edge closest to you and roll forward, compressing firmly to create a tight cylinder. Seal the roll by moistening the exposed nori edge with water and pressing to close. Repeat with remaining ingredients to form 4 rolls total. Place a roll on a cutting board and use a sharp, damp knife to cut into 6 equal pieces, wiping the knife clean between cuts. Repeat for all rolls to yield 24 sushi pieces.
05 - Arrange sushi pieces on a decorative serving platter or wooden board in a circular or linear pattern. Drizzle balsamic glaze artistically over the top in a zigzag pattern. Garnish with additional fresh basil leaves. Serve immediately at room temperature for optimal texture and flavor. For best results, consume within 2 hours of assembly.