Bring a pot of water to a rolling boil and season generously with salt. Add the pasta and cook just until al dente. Drain in a colander and drizzle over 1 tsp olive, mix until all the pasta has been coated. Set aside to cool.
While the pasta is cooking, cut the mozzarella into cubes or drain the liquid if you're using mozzarella balls and cut in half. Slice the cherry tomatoes in half as well. Add the cooled pasta, sliced tomatoes and mozzarella balls to a large bowl.
In a mason jar or to a blender, add basil pesto, olive oil, white balsamic vinegar, fresh garlic, and salt together. Mix well then drizzle over the pasta. Toss to coat and taste for seasoning. Prior to serving, drizzle over the balsamic reduction.