Cook the pasta according to package instructions in a large pot of salted boiling water until al dente. Drain and set aside.
In a large skillet, heat the olive oil over medium heat. Add the chopped onion and sauté for about 5 minutes, until softened.
Stir in the minced garlic and cook for an additional 1 minute, until fragrant.
Add the pumpkin puree, vegetable broth, sage, thyme, salt, and black pepper to the skillet. Stir well and bring to a simmer. Cook for about 5 minutes, allowing the flavors to meld.
Reduce the heat to low and stir in the heavy cream and Parmesan cheese. Mix until the cheese is melted and the sauce is creamy.
Add the cooked pasta to the skillet and toss to coat the pasta evenly with the sauce. Cook for an additional 2-3 minutes to heat through.
Serve immediately, garnished with fresh parsley.