Cook tortellini in a large pot of salted water according to package directions. Drain.
In a large skillet or saucepan, melt butter over medium heat. Add minced garlic and sauté for about 20 seconds until fragrant.
Whisk in heavy cream and bring to a simmer, allowing it to simmer for approximately 3 minutes to reduce and slightly thicken.
Gradually whisk in softened cream cheese, continuing until the sauce becomes smooth and creamy.
Season the sauce with a pinch of nutmeg, salt, and pepper.
Stir in grated Parmesan cheese until fully melted into the sauce.
Add shredded rotisserie chicken to the skillet and cook for 2 minutes or until heated through.
Introduce the cooked tortellini to the skillet, gently tossing to coat it with the sauce. Cook for an additional minute. Remove from heat.
Garnish with freshly chopped parsley and fresh basil leaves, then serve.