Preparation Toss eggplant with 1 tablespoon salt in large colander. Place over bowl and let stand 30 minutes. Heat 3 tablespoons oil in heavy large skillet over medium-high heat. Working in batches, add eggplant; saut
 until golden, about 5 minutes. Transfer to bowl. (Can be made 8 hours ahead. Cover; chill.) Heat 2 tablespoons oil in heavy large skillet over medium-high heat. Working in batches, cook meatballs until brown, about 5 minutes. Transfer meatballs to paper-towel-lined plate. Wipe out skillet. Heat 2 tablespoons oil in same skillet over medium-high heat. Add tomatoes, garlic and chilies; sauté until fragrant, about 2 minutes. Add meatballs, broth and cream. Simmer until meatballs are cooked through, about 5 minutes. Add eggplant and simmer 1 minute. Meanwhile, cook pasta in large pot of boiling salted water until tender but still firm to bite. Drain. Transfer to large bowl. Toss pasta with sauce and 1 cup Parmesan cheese. Mix in basil and pine nuts. Season to taste with salt and pepper. Serve pasta, passing additional Parmesan cheese separately.
Preparation Toss eggplant with 1 tablespoon salt in large colander. Place over bowl and let stand 30 minutes. Heat 3 tablespoons oil in heavy large skillet over medium-high heat. Working in batches, add eggplant; saut
 until golden, about 5 minutes. Transfer to bowl. (Can be made 8 hours ahead. Cover; chill.) Heat 2 tablespoons oil in heavy large skillet over medium-high heat. Working in batches, cook meatballs until brown, about 5 minutes. Transfer meatballs to paper-towel-lined plate. Wipe out skillet. Heat 2 tablespoons oil in same skillet over medium-high heat. Add tomatoes, garlic and chilies; sauté until fragrant, about 2 minutes. Add meatballs, broth and cream. Simmer until meatballs are cooked through, about 5 minutes. Add eggplant and simmer 1 minute. Meanwhile, cook pasta in large pot of boiling salted water until tender but still firm to bite. Drain. Transfer to large bowl. Toss pasta with sauce and 1 cup Parmesan cheese. Mix in basil and pine nuts. Season to taste with salt and pepper. Serve pasta, passing additional Parmesan cheese separately.