Preheat oven to 415F. Cut eggplant, bell peppers, and asparagus into about three-inch sizes.
Sprinkle veggies with some garlic salt and drizzle with a bit of olive oil, set it into an oven and bake it for about 10 minutes, or until golden brown.
Let vegetables cool to a room temperature. Cut cherry tomatoes into halves and add them to the salad. Press garlic cloves into the salad.
Before serving, sprinkle the salad with Parmesan cheese.