01 - Mound the flour on a clean work surface and create a deep well in the center. Crack the eggs into the well and add the salt. Beat the eggs gently with a fork, gradually drawing in flour from the inner walls of the well until a shaggy dough begins to form. Knead by hand for 7 to 8 minutes until the dough is smooth, elastic, and springs back when pressed. Wrap tightly in plastic wrap and rest at room temperature for 20 minutes.
02 - In a mixing bowl, combine the finely chopped chicken breast, ricotta cheese, Parmesan cheese, minced garlic, chopped parsley, and ground nutmeg. Season generously with salt and freshly ground black pepper. Stir until all ingredients are evenly distributed and the filling holds together when pressed.
03 - Divide the rested dough in half and keep one portion wrapped. Using a rolling pin or pasta machine, roll the dough out to approximately 1/16-inch thickness. Cut into 2-inch squares or rounds using a knife or pasta cutter. Place roughly 1 teaspoon of filling in the center of each piece. Fold the dough over the filling to form a triangle or half-moon, pressing out any air and sealing the edges firmly. Bring the two bottom corners together and pinch to form the classic tortellini shape. Repeat with remaining dough and filling.
04 - Bring a large pot of generously salted water to a rolling boil. Drop the tortellini in batches to avoid crowding. Cook for 3 to 4 minutes, or until they float to the surface and the pasta edges are tender. Transfer carefully with a slotted spoon to a warm plate.
05 - In a medium saucepan over medium heat, melt the butter. Pour in the heavy cream and bring to a gentle simmer, cooking for 2 to 3 minutes until slightly thickened. Add the Parmesan cheese and stir continuously until fully melted and the sauce is silky smooth. Season with freshly ground black pepper to taste.
06 - Gently toss the cooked tortellini in the warm cream sauce until evenly coated. Divide among serving bowls and finish with chopped fresh parsley and shaved Parmesan cheese. Serve immediately while hot.