Preheat your oven to 180°C (350°F). Place the oven rack in the middle position to ensure even baking.
Lay each chicken breast on a cutting board and carefully slice into the thick side to create a pocket, being cautious not to cut all the way through.
In a small bowl, mix the chopped sun-dried tomatoes, shredded mozzarella, and chopped basil until well combined. This flavorful filling will give your chicken a burst of smoky, cheesy goodness.
Stuff each chicken breast generously with the mixture, pressing gently to pack the filling inside.
Secure each stuffed chicken breast with toothpicks to keep the filling from spilling out during cooking.
Heat a skillet over medium-high heat, add a tablespoon of olive oil, and once shimmering, place the chicken breasts in the skillet.
Sear the chicken for about 3-4 minutes per side, until each side is golden brown and crispy, filling the kitchen with a warm, savory aroma.
Transfer the skillet to the preheated oven, or move the chicken to an oven-safe dish if your skillet isn't ovenproof.
Bake for 20-25 minutes, or until the internal temperature reaches 74°C (165°F) and the cheese is bubbling and melted.
Remove the chicken from the oven and let it rest for about 5 minutes, allowing the juices to redistribute and the filling to settle.
Carefully remove the toothpicks, slice the chicken if desired, and serve immediately with your favorite sides, savoring the crispy exterior and gooey, flavorful filling.