Place bread on a baking sheet and brush olive oil over each half.
Sprinkle with a dash of salt.
Top each half with brie cheese slices and peaches.
Put pan into the oven and bake the bread for 10 minutes; then turn the oven to broil and broil it for 30 seconds or until cheese gets a tiny bit brown and bubbly.
While pizzas are baking, place vinegar in a small saucepan over medium-high heat; cook until reduced to 2 tablespoons (about 5 minutes or so).
Drizzle balsamic reduction evenly over pizza and top with basil.