Cut stew meat into bite-sized pieces.
Fill a large pot half full of water, about 10 cups.
Add soup bone, stew meat, bay leaves, and onion.
Cover and simmer for 2 hours, stirring occasionally.
Remove soup bone.
Add carrots, celery, soup mix, pasta, and rice.
Cover and simmer for 30 minutes, stirring occasionally.
Add potatoes, salt, tomatoes, bouillon, and Italian seasoning.
Cover and simmer for 30 minutes, stirring occasionally.
Remove bay leaves.
Add green beans; salt and pepper to taste.
Cover and simmer for 15 minutes, stirring occasionally.