Add balsamic vinegar and brown sugar to a small saucepan and place over medium heat. Stir until sugar dissolves when mixture begins to bubble cook an additional 1 to 2 minutes. Remove from heat and set aside until ready to serve.
Thread skewer sticks alternating with strawberries, mozzarella, and salami. Drizzle with balsamic glaze. Sprinkle fresh thyme the skewers. Serve immediately.