Cook the Pasta: Bring a large pot of salted water to a boil. Add tagliatelle and cook until 1–2 minutes shy of al dente. Reserve ½ cup pasta water, then drain.
Brown the Beef: In a wide skillet over medium‑high heat, warm olive oil. Add ground beef in an even layer and let it sear, undisturbed, for 2–3 minutes. Break up the meat and cook until fully browned. Transfer to a bowl.
Sauté Aromatics: In the same pan, add onion, carrot, and celery. Sauté 5–6 minutes until softened. Stir in garlic and tomato paste; cook 1–2 minutes until fragrant.
Build the Sauce: Return beef to the pan. Pour in wine or broth, scraping up browned bits. Stir in crushed tomatoes, oregano, and basil. Season with salt and pepper. Reduce heat and simmer 20–25 minutes, stirring occasionally.
Combine Pasta & Sauce: Add drained tagliatelle to the sauce. Toss to coat, adding reserved pasta water as needed to achieve a silky consistency. Adjust seasoning.
Serve: Divide among bowls, top with Parmesan and basil, and drizzle with extra‑virgin olive oil if desired.