01 - Bring a large pot of salted water to a rolling boil. Cook the pasta according to package directions until al dente. Reserve 1/2 cup of the pasta cooking water, then drain the pasta thoroughly.
02 - While the pasta cooks, heat 2 tablespoons of olive oil in a skillet over medium heat. Add the finely chopped shallot and minced garlic, sautéing until softened and fragrant, approximately 2 minutes.
03 - Incorporate the cooked beets into the skillet with the sautéed aromatics and continue to cook for an additional 2 minutes. Transfer this mixture to a blender or food processor.
04 - Add the heavy cream, Parmesan cheese, lemon juice, salt, black pepper, and optional pinch of nutmeg to the blender with the beet mixture. Process until the sauce is completely smooth and creamy.
05 - Return the prepared beet sauce to the skillet and warm gently over low heat. Gradually add the reserved pasta water, a little at a time, until the sauce reaches your desired consistency.
06 - Add the drained pasta to the skillet with the warmed beet sauce. Toss thoroughly until the pasta is evenly coated and heated through.
07 - Serve the pasta in individual bowls, garnished generously with extra grated Parmesan cheese, freshly chopped basil or parsley, and a sprinkle of cracked black pepper.