Preheat oven to 425˚F. In a large sauce pan over high heat, boil balsamic vinegar until it is reduced to half. Remove from heat and let cool.
In a large bowl, combine asparagus, mushrooms, tomatoes, squash, zucchini, parsley, olive oil, garlic, salt and pepper. Toss to incorporate olive oil. Place vegetables onto a large sheet pan and bake for 10-12 minutes, stirring halfway through. Remove vegetables from oven and let cool. Drizzle with reduced balsamic (you may not need all of the vinegar, depending on your taste.) Add more salt and pepper if desired.
Toss pasta with fresh basil and place into serving bowl. Top pasta with prepared vegetable mixture. Place sliced BelGioioso Burrata on top of vegetable mixture. Drizzle cheese with a little olive oil and garnish with fresh basil leaves. Serve at room temperature.