Begin by cooking the pasta according to package instructions in a large pot of salted boiling water. Cook until al dente, then drain, reserving about 1 cup of pasta cooking water. Set the pasta aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant, being careful not to let it burn.
Stir in the chopped sun dried tomatoes and cook for 2-3 minutes.
Pour in the heavy cream, stirring to combine. Let it simmer gently for about 2-3 minutes until slightly thickened.
Mix in the grated Parmesan cheese, dried basil, red pepper flakes, and a pinch of salt and pepper. Stir continuously until the cheese has melted and the sauce is creamy.
Add the cooked pasta to the skillet, tossing to coat all the noodles with the sauce. If the sauce is too thick, gradually add the reserved pasta cooking water until you reach your desired consistency.
Remove from heat and let sit for a minute for the sauce to cling to the pasta.
Serve immediately, garnished with fresh basil leaves and a sprinkle of additional Parmesan if desired.