Preheat your oven to 275°F (135°C).
Season the beef chuck roast with salt and black pepper.
In a large oven-proof pot, heat olive oil over medium-high heat. Sear the roast on all sides until browned.
Remove the roast and set aside. In the same pot, add onions, carrots, and potatoes; cook for about 5 minutes.
Add garlic and cook for another minute, then stir in the tomato paste.
Pour in the red wine, scraping up any browned bits from the bottom of the pot.
Place the roast back in the pot. Pour in the beef broth, ensuring the roast is mostly covered.
Cover the pot and place it in the preheated oven. Cook for about 4 hours or until the meat is tender.
Remove from the oven and let the roast rest for 10 minutes before serving.