Preheat oven to 400˚F.
Place parsley, spinach, ginger, garlic, nuts, lemon zest and juice, salt and pepper in food processor and turn processor on. Stream about 1/3 cup EVOO into processor to form a pesto sauce.
Drizzle the pumpkin cubes with 2 tablespoons EVOO and season with salt, pepper, paprika and nutmeg. Roast 15 minutes, turn the cubes over and roast 15 minutes more.
Meanwhile, bring water to boil for pasta, salt it and cook to al dente, according to package directions. Reserve 1 cup of the starchy water just before draining. Drain pasta, return to hot pot, add reserved water and pesto, and toss to coat. Gently mix in the roasted pumpkin cubes and serve topped with lots of cheese and some pumpkin seeds.