Place each crostini round on the baking sheet. Brush each side lightly with olive oil. Place the baking sheet on the top rack of the oven right under the broiler. Broil until lightly toasted around the edges. Flip each crostini over and broil until lightly toasted on the other side. Remove from the oven and allow to cool.
Place crostini on a platter and spread each with about 1 to 1 ½ teaspoons of goat cheese.
Place 2 - 3 strawberry slices on top of each crostini. Add a few sprinkles of chopped basil to each. Drizzle with a little balsamic glaze.
To Make the Balsamic Glaze
Place balsamic vinegar in a small saucepan and heat over medium heat to just boiling. Allow it to boil for 3 -5 minutes until reduced down to ~1 tablespoon. It will be thick and should coat the back of a spoon.