Preheat the oven to 180°C (350°F).
Cook the penne pasta according to package instructions. Drain and set aside.
In a large skillet, heat some olive oil over medium heat. Add the chicken breast and cook until no longer pink in the center. Remove from the skillet and set aside.
In the same skillet, add the diced onion, minced garlic, and diced bell peppers. Cook until the vegetables are softened.
Add the diced tomatoes, tomato sauce, dried basil, dried oregano, salt, and black pepper to the skillet. Stir to combine.
Add the cooked chicken and penne pasta to the skillet. Mix well.
Transfer the mixture to a baking dish and top with shredded mozzarella cheese and grated Parmesan cheese.
Bake in the preheated oven for 20-25 minutes, or until the cheese is melted and golden brown.
Garnish with fresh basil leaves before serving.