Wash the tomatoes, remove the stem end, and roughly chop, catching any juice that comes out.
Set your Ninja Foodi or electric pressure cooker to the saute function. Heat the cooking oil and saute the onions until translucent and fragrant (about 4-5 minutes). Stir in the garlic and cook for a minute.
To prevent burning, add the vegetable stock and deglaze the pot, making sure to scrape any bits sticking at the bottom.
Top with the fresh tomatoes, tomato paste, paprika powder, salt, pepper, and brown sugar (optional) . Do not stir.
Stop the saute function and change to the pressure cooking function.
Close the pot using the pressure cooking lid, making sure to set the valve to the sealing position. Press the pressure cook function, and set the time to 15 minutes. See notes.
Once the cooking time is over, allow your Ninja Foodi, Instant Pot, or other electric pressure cooker to naturally pressure release for 10 minutes before doing a quick pressure release.
Open the lid, stir and use an immersion blender to blend until smooth and creamy. If preferred, pass the blended tomato soup through a sieve for a smoother soup.
Stir in the cream, check for salt, then transfer to bowls. Garnish with sliced basil, then serve with some garlic baguette, croutons, grilled cheese sandwich, or as preferred.