To make the sauce: Heat a 12- skillet over medium heat; once hot, add the oil. Add the onion, garlic, carrot, zucchini, and dried basil and cook until softened, about 10 minutes. Stir in the tomato paste, and cook for 1 minute. Add the tomatoes and water and bring to a boil. Lower the heat to a simmer and cook, partially covered, until the sauce thickens slightly and the flavors meld, about 1 hour.
Meanwhile, bring a large pot of water to a boil. Add the pasta and cook according to the package directions. Drain the pasta and divide equally among 6 bowls. Top each bowl with the tomato sauce, and sprinkle with the fresh basil. Serve with fresh Parmesan cheese if desired.