Cook the tortellini according to package instructions.
In a large saucepan, melt butter over medium heat. Add minced garlic and sauté until fragrant.
Stir in heavy cream and bring to a simmer.
Add grated Asiago cheese and Italian seasoning, stirring until melted and smooth.
Season with salt and pepper, adjusting according to taste.
Add the cooked tortellini to the sauce, stirring gently to coat evenly.
Slice the grilled chicken breasts and arrange on top of the tortellini.
Garnish with fresh parsley before serving.