Preheat the broiler of the oven. Put the bell peppers open side down on the cookie sheet and broil for 10 minutes.
Add the tomatoes to the cookie sheet also and broil for 5 minutes.
Put the peppers into a plastic bag for 10 minutes.
Remove the skins from pepper and slice into strips. Remove skin from tomatoes and chop roughly.
Heat up the oil in a large pan and sauté the garlic for 4 minutes.
Add the tomatoes and bell peppers into the pan and cook for another 5 minutes. Mix in the fresh basil and season with salt and pepper.
Serve warm.