Simmer balsamic vinegar and sugar in small saucepan over medium heat until reduced to a thick syrup (any consistency between maple syrup and honey is fine). Watch closely as it reduces, as it can burn quickly.
Alternately scatter halved strawberries and bocconcini slices across four salad plates. Drizzle each plate with 1/2-tablespoon of olive oil and about 1/2-tablespoon balsamic reduction. Sprinkle with a good pinch of salt and scatter torn basil leaves over top (about 4 leaves per plate). Serve immediately.