Pat chops dry. Rub with oil. Season both sides. Press firmly.
Heat the tomato oil over medium-high. Sear chops 3–4 min per side, do not move. Transfer to plate.
Same pan garlic 60 sec. Tomato paste 90 sec until brick red. Sun-dried tomatoes 30 sec.
Wine scrape pan bottom, reduce 90 sec. Stock reduce 2 min. Reduce to medium-low. Cream + seasonings simmer gently 2 min.
Return chops. Spoon sauce over. Simmer uncovered 15–22 min, basting every 5 min, until 145°F / 63°C.
Transfer chops to plate. Tent with foil. Rest 3 minutes.
Off heat Parmesan in 3 stages, stirring fully between each.
Return chops. Spoon sauce over. Basil off heat. Serve immediately