Bring a large pot of water to a boil. Add the pasta, the minced garlic and a generous pinch of salt. Cook the pasta just until tender and then scoop out 1/2 a cup of the pasta water. Set the water aside and then drain the pasta.
Pour the cream into the bottom of the same pot and warm it over medium heat. Once it is warm, add the pasta and about 1/4 cup of the reserved water back into the pot and toss gently to coat the pasta well. Add the basil and spinach leaves and toss to wilt. Season generously with salt and pepper and cook over medium low heat for a couple minutes, tossing constantly. Stir in Parmesan and remaining water as needed in order to achieve a creamy sauce that coats the pasta. Taste and adjust seasonings as desired. Enjoy!