Preheat oven to 425°F (220°C).
In a blender or food processor, combine roasted red peppers, garlic, cream, parmesan, olive oil, and lemon juice.
Blend until smooth and creamy.
Taste and season with salt and pepper.
Toss gnocchi, tomatoes, olive oil, garlic cloves, salt, pepper, and red pepper flakes on a sheet pan.
Spread in a single layer and roast for 20–25 minutes, tossing once, until golden and blistered.
Remove from the oven and use the back of a wooden spoon to gently crush the tomatoes
Squeeze the garlic from its paper and gently mix into the rest of the ingredients on the pan
Transfer everything to a serving bowl or leave on the sheet pan.
Drizzle with warm roasted red pepper sauce and toss everything together to coat.
Garnish with torn basil and extra parmesan, if desired, and serve warm.