Blanch fresh basil leaves in boiling water for just a second and then remove right into a large bowl of ice water. Drain the basil, carefully squeezing out the excess water, but keeping the leaves whole. Wrap 1 basil leaf around each bocconcini. Skewer the wrapped bocconcini onto the end of a wooden skewer. Dip in the tomato sauce and enjoy!
Open the can of tomatoes, pour off the juice, and discard. With your hands, squeeze the whole tomatoes to a pulp, adding pulp to a bowl as you squeeze. Set aside.
Heat olive oil in a heavy saucepan over high heat. Add garlic and cook until golden and fragrant; be careful not to burn the garlic. Add tomato pulp, stir to combine, and reduce the heat to a simmer. Simmer for about 5 minutes. Season, to taste, with salt and pepper. Serve as a dipping sauce for the bocconcini.