01 - Bring a large pot of generously salted water to a rolling boil. Add the fettuccine or spaghetti and cook according to package directions until al dente. Reserve ½ cup of the starchy cooking water before draining through a colander.
02 - While the pasta cooks, melt the butter with the olive oil in a large skillet set over medium heat. Add the thinly sliced onions and sprinkle evenly with sugar and salt to draw out moisture.
03 - Cook the onions, stirring frequently, for 25 to 30 minutes until they turn a rich golden brown and become deeply caramelized. If the onions begin to stick to the pan, add a small splash of water to deglaze and continue cooking.
04 - Stir in the minced garlic and cook for 1 minute until fragrant, being careful not to let it brown.
05 - Reduce the heat to low and pour in the heavy cream and whole milk, stirring gently to combine. Add the grated Parmesan cheese, black pepper, and ground nutmeg. Simmer for 2 to 3 minutes until the sauce thickens slightly and coats the back of a spoon. Season with salt to taste.
06 - Transfer the drained pasta directly into the skillet with the sauce. Toss thoroughly, adding small splashes of the reserved pasta water as needed until you achieve a silky, creamy sauce that clings evenly to every strand.
07 - Serve immediately while hot, garnished with chopped fresh parsley and an extra shower of grated Parmesan.