In 4-quart saucepan over medium-high heat, in hot oil, cook ground beef until well-browned on all sides, stirring frequently. With slotted spoon, remove beef to bowl.
In drippings remaining in saucepan over medium heat, cook onion and garlic until tender-crisp. Add beef broth, carrots, green beans, stewed tomatoes, basil and ground beef; over high heat, heat to boiling.
Reduce heat to low; cover and simmer 10-15 minutes to blend flavors, stirring occasionally. Stir in cooked egg noodles.