In a heavy bottomed braising pan over medium heat, add butter, minced shallot and Italian seasoning and cook for 2-3 minutes.
Add heavy cream and milk and stir. Once it returns to a simmer, stir in the cream cheese until melted.
Add in the uncooked tortellinis and chicken and a pinch of salt and stir. Cover the pot with a lid and drop the heat to a simmer for 2-5 minutes or until the tortellini are cooked through and tender.
Stir in ¼ cup of parmesan at a time (1 cup total) until the whole thing is creamy and smooth.
**If the sauce still looks loose, simply leave the lid off and cook the pasta for a few more - OR - if it looks dry, slowly stir in ½ cup more of milk.
Season with salt and pepper to taste before serving.