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.
For salad:
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.