01 - Bring a large pot of salted water to a rolling boil. Cook fettuccine or spaghetti according to package directions until al dente. Reserve 1/2 cup of pasta cooking water before draining in a colander.
02 - While the pasta cooks, melt butter with olive oil in a large skillet over medium heat. Add the thinly sliced onions and sprinkle evenly with sugar and salt to encourage browning.
03 - Stir the onions frequently for 25 to 30 minutes until they turn a rich golden brown and become deeply caramelized. If they begin to stick to the pan, add a small splash of water to deglaze and continue cooking.
04 - Stir the minced garlic into the caramelized onions and cook for 1 minute until fragrant and softened.
05 - Reduce heat to low and pour in the heavy cream and whole milk, stirring gently to combine. Add the grated Parmesan cheese, black pepper, and nutmeg if using. Simmer for 2 to 3 minutes until the sauce thickens slightly. Season with salt to taste.
06 - Transfer the drained pasta to the skillet with the sauce. Toss thoroughly, adding reserved pasta water a little at a time until the sauce becomes silky and clings evenly to every strand.
07 - Serve immediately in warm bowls, finished with chopped fresh parsley and an extra shower of grated Parmesan.