Put 6 bread slices on a baking sheet and brush slices with oil on both sides. Season lightly with salt and pepper, bake until pale golden, about 10-15 minutes. If you are grilling the crostini, heat over medium-high heat and grill each side for 3-4 minutes.
Put cut strawberries in a bowl with balsamic vinegar and let sit for 10 minutes.
Spread 1 heaping tablespoon of goat cheese onto each crostini. Top with a few basil shreds and then place a spoonful of marinated strawberries on top. Sprinkle salt on top of the crostini & serve.