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 pulling in flour from the inner walls until a shaggy dough begins to form. Bring the dough together with your hands and knead firmly for 7 to 8 minutes until the surface is silky smooth and springs back when pressed. Wrap tightly in plastic wrap and let rest at room temperature for 20 minutes to relax the gluten.
02 - In a mixing bowl, combine the finely chopped chicken, ricotta, Parmesan, minced garlic, parsley, nutmeg, and a generous pinch each of salt and pepper. Stir until all ingredients are evenly distributed and the mixture holds together when pressed. Taste and adjust seasoning as needed.
03 - Unwrap the rested dough and divide it into manageable portions. Using a rolling pin or pasta machine, roll each portion out to approximately 1/16 inch thickness. Cut the thin sheets 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 half-moon, pressing out any trapped air and sealing the edges firmly. Bring the two pointed corners together around your finger and pinch to form the classic tortellini shape. Transfer finished tortellini to a lightly floured sheet pan.
04 - Bring a large pot of generously salted water to a rolling boil. Drop the tortellini in batches, stirring gently to prevent sticking. Cook for 3 to 4 minutes until they float to the surface and the pasta edges are tender. Remove each batch with a slotted spoon and set aside briefly.
05 - While the tortellini cooks, melt the butter in a large saucepan over medium heat. Pour in the heavy cream and bring to a gentle simmer for 2 to 3 minutes, allowing it to reduce slightly. Stir in the Parmesan cheese and continue stirring until fully melted and the sauce is smooth. Season generously with freshly ground black pepper.
06 - Add the cooked tortellini directly to the saucepan with the cream sauce and toss gently to coat each piece evenly. Divide among warmed plates or shallow bowls. Finish with an extra shower of grated Parmesan and a scatter of chopped fresh parsley. Serve immediately.