Take the beef fillets out of the refrigerator 30 minutes before cooking to allow them to reach room temperature. Pat them dry using paper towels and season generously with salt and freshly cracked black pepper on both sides.
In a skillet, melt 1 tablespoon of butter over medium heat. Add the minced garlic and sauté until fragrant, about 30 seconds to 1 minute.
Pour in the heavy cream into the skillet while scraping up any browned bits from the bottom of the pan. Stir in black pepper and salt, then let it simmer gently for about 3-5 minutes until it thickens slightly.
Heat the skillet again over medium-high heat and add the remaining tablespoon of butter. Sear the beef fillets for approximately 3-4 minutes on each side until they reach medium-rare doneness (about 130°F/54°C).
Remove the fillets from the skillet and let them rest on a plate for a few minutes. Then return them briefly to the skillet, spoon some of the sauce over top, and heat everything together for an additional minute.
Serve the beef fillets on individual plates drizzled with creamy pepper sauce and garnish with chopped fresh parsley.