Preheat the oven to 400°F.
Slice the red and yellow bell peppers into strips and cut the fresh tomato into chunks.
In a bowl, combine the tomato puree, chopped fresh tomato, minced garlic, finely chopped onion, and mixed herbs. Season with salt and pepper to create a savory tomato herb sauce.
Lightly season the chicken breast with salt and pepper.
Heat half of the olive oil in an oven-proof skillet over medium-high heat and sear the chicken breast for 2-3 minutes on each side until lightly browned.
Remove the chicken temporarily and toss the bell pepper slices in the remaining olive oil. Add them to the skillet and sauté for 3-4 minutes until slightly softened.
Return the chicken to the skillet and pour the tomato herb sauce over it, ensuring the sauce evenly coats the chicken and peppers.
Transfer the skillet to the oven and roast for 15-18 minutes, or until the chicken is cooked through and the peppers are tender.
Remove from the oven, let it rest for a few minutes, and then serve warm with the roasted bell peppers and sauce spooned over the chicken.