Heat a Dutch oven over medium-high heat. Add 1 teaspoon oil to pan. Add onion and chopped carrot; sauté 8 minutes, stirring occasionally. Add garlic; sauté for 45 seconds, stirring constantly. Remove from pan.
Add 1 tablespoon oil to pan. Place 1/4 cup flour in a shallow dish. Sprinkle beef with 1/2 teaspoon salt and pepper; dredge in flour. Add half of beef to pan; sauté 6 minutes, browning on all sides. Remove from pan. Repeat procedure.
Add wine to pan, and bring to a boil, scraping pan. Cook until reduced to 1/3 cup (about 5 minutes). Return meat and the onion mixture to pan. Add tomato and next 6 ingredients; bring to a boil. Cover, reduce heat, and simmer for 45 minutes, stirring occasionally. Uncover, and stir in sliced carrot. Simmer, uncovered, for 1 hour or until meat is very tender, stirring occasionally. Discard bay leaf. Stir in remaining 1/4 teaspoon salt, basil, and parsley.