Drain the can of plum tomatoes and set the pulp aside.
Pat the chicken thighs dry with paper towels, then season both sides with salt and pepper.
Heat 2 tablespoons of olive oil in a large pan over medium heat. Sear the chicken thighs for 5 minutes per side until browned. Work in batches to avoid overcrowding.
Transfer the seared chicken to a plate and cover with foil. In the same pan, add the remaining olive oil and sliced garlic. Sauté for 60 seconds, then add the bell peppers and toss to coat.
Pour in ½ cup of dry white wine, scrape the pan to release flavor bits, then stir in the plum tomatoes. Bring to a simmer, add the chicken thighs back into the pan, and cook for 30-35 minutes, stirring occasionally.
If there’s excess liquid after cooking, remove the chicken and reduce the sauce over medium-high heat for 5-10 minutes. Season to taste with salt and pepper, then sprinkle with torn basil leaves. Serve with crusty Italian bread to enjoy the sauce.