Add avocados, basil, lemon juice, extra virgin olive oil, Parmesan cheese, salt and pepper to a food processor.
Pulse a couple of times and stir. Pulse again until thick and creamy.
Drain the pasta and drizzle with a little bit of oil. Place back into the pan the pasta was cooked in. (Make sure the pan has cooled down or the pasta will stick to the pan.)
Toss the avocado sauce with the cooked pasta and serve immediately.
Garnish with red pepper flakes, Parmesan cheese and basil if desired.