Spray the bottom of the air fryer basket with a little oil to prevent sticking. Add the tomatoes, red bell pepper, onion, carrot, garlic cloves to the air fryer and set for 360 degrees Fahrenheit and 25 minutes to roast.
Check the air fryer basket about halfway through and shake to ensure even roasting. Shake again when there is about 5 minutes left on the timer.
Once air fryer timer goes off, transfer vegetables to a medium stock pan and add chicken broth to stock pan. Allow mixture to come to a boil. Reduce heat and simmer for about 5 minutes. Once done, blend soup with immersion blender or allow to cool and use a traditional blender to blend the soup.
Add basil, heavy cream, splash of balsamic vinegar. Salt and pepper to taste. Top with parmesan cheese.