In a large dutch oven (or pot), over medium heat, heat oil. Add beef and cook on all sides until seared, 10 minutes, working in batches if necessary. Transfer beef to a plate.
In the same pot, cook onion, carrots, and celery until soft, 5 minutes. Season with salt and pepper. Add garlic and tomato paste and cook until garlic is fragrant and tomato paste has darkened, 2 minutes.
Add beef back to dutch oven then add broth, wine, Worcestershire sauce, thyme, and bay leaves.
Bring to a boil then reduce heat to a simmer. Season with salt and pepper. Cover and let simmer until beef is tender, 30 minutes.
Add potatoes and simmer, covered, until potatoes are tender, 15 minutes.
Remove bay leaves. Stir in peas and cook until warmed through, 2 minutes. Garnish with parsley before serving.