Remove the tray from the air fryer basket. Place the onion, tomatoes, and garlic cloves in the air fryer. Drizzle with the olive oil and sprinkle with salt.
Air fry the produce at 400°F / 205°C for 14-16 Minutes, or until the tomatoes just burst, and the garlic and onion are golden brown. Transfer to a blender with the basil and heavy cream and puree. until smooth. Season with salt and set aside.
Slice the top off each bread roll. Using a paring knife, cut a circle around the sides and gently pull out the inside of each roll. Sprinkle the middle of each bread roll with shredded parmesan cheese. Drizzle with olive oil.
Return the tray to the air fryer basket. Place the bread bowls inside. Air fry the bread bowls at 350°F / 175°C for 8-10 Minutes, or until the cheese is melted and the bread rolls are crisp.
Ladle the soup into each mini bread bowl and serve immediately. Enjoy!