In a food processer add first 3 ingredients and mix for 1 minute. Transfer to a bowl and refrigerate for 1 hour (minimum).
Bring vinegar and sugar to a boil in a small pot; reduce to simmer for 2 minutes, stirring constantly. Cool completely.
Toss basil and berries with balsamic sauce.
To plate, place cheese on bottom of a glass, spoon berries on top. Place a little fresh basil as garnish and half a strawberry on rim of glass. You may also wet the rim of glass ahead of time with a lemon wedge and dip rim in sugar for decoration.