Cook the egg noodles "al dente" per package instructions. Drain and set aside.
Heat a large skillet or a dutch oven over medium-high heat. Add the ground beef and cook until it is browned and fully cooked, breaking it into small pieces as it cooks. Drain off the excess grease.
Add the onion, bell pepper, and garlic to the skillet and cook for an additional 3-4 minutes, until the vegetables are tender.
Stir in the diced tomatoes, tomato sauce, beef broth, Worcestershire sauce, oregano, basil, salt, and pepper. Bring the mixture to a simmer and cook for 10-15 minutes.
Add the egg noodles to the skillet and stir to combine. Reduce the heat to medium and simmer the Slumgullion for 3-5 minutes, until the noodles are heated.
Serve the Slumgullion hot, with grated cheese and chopped fresh herbs as optional toppings.
Notes
Cook the pasta just until al dente before adding it to the stew. The noodles will continue to soften slightly as they sit in the sauce.
If the stew thickens too much, stir in a splash of broth, tomato sauce, or water.