Cut turkey wings apart at the joints. Heat 1 teaspoon oil in a large Dutch oven over medium-high heat. Add half of turkey; cook 7 minutes, browning on all sides. Remove from pan. Repeat procedure with 1 teaspoon oil and remaining turkey.
Add onion, carrot, and celery to pan; sauté 5 minutes or until lightly browned. Return turkey to pan; add 12 cups water. Bring to a boil; skim any foam from surface of broth. Stir in salt, thyme, pepper, and bay leaves. Reduce heat; simmer 1 1/2 hours.
Remove turkey; cool slightly. Discard skin and bones; coarsely chop turkey meat. Place the turkey meat in a medium bowl; cover and chill. Place broth mixture in a large bowl; cool 1 hour at room temperature. Cover and chill 8 hours. Skim solidified fat from surface.
Place broth mixture in a large Dutch oven. Bring to a boil over medium-high heat. Add turkey meat, noodles, parsley, and saffron; cook 6 minutes or until noodles are tender. Discard bay leaves.