Boil salted water in a large pot.
Cook pasta according to package instructions until al dente.
In a skillet, heat olive oil over medium heat.
Add minced garlic and sauté until fragrant.
Stir in the pumpkin puree and mix well.
Pour in the heavy cream and stir until combined.
Add grated Parmesan cheese and nutmeg; mix until smooth.
Season with salt and pepper to taste.
Drain the pasta and add it to the skillet; toss to coat.
Serve hot, garnished with fresh parsley.