Heat a large skillet over medium heat and add a splash of olive oil. Add the sausage, breaking it up with a spoon as it cooks. Cook until the sausage is browned and cooked through, about 8-10 minutes. Transfer the sausage to a plate and set aside, leaving the flavorful drippings in the skillet for the next step.
In the same skillet, add a little more olive oil if needed. Add the chopped shallot and minced garlic. Sauté them together, stirring frequently, until they are soft and fragrant, about 2-3 minutes. Be careful not to burn the garlic.
Stir in the tomato paste, ensuring it's well incorporated with the shallots and garlic. Add the crushed tomatoes and stir to combine. Let the sauce simmer gently for about 10 minutes, stirring occasionally, to allow the flavors to meld.
Return the browned sausage to the skillet, mixing thoroughly with the tomato mixture. Add the basil, stirring it into the sauce, followed by the heavy cream. Reduce the heat to low and let the sauce simmer for another 5 minutes, thickening slightly as it infuses with creamy goodness.
While the sauce simmers, fill a large pot with water, add a generous amount of salt, and bring it to a boil. Add the rigatoni or penne pasta and cook according to the package instructions until al dente. This should take about 8-10 minutes. Drain well and reserve about a cup of the pasta water.
Gently fold the cooked pasta into the sauce. If the sauce appears too thick, add a few tablespoons of reserved pasta water to reach the desired consistency. Stir well to ensure every piece of pasta is evenly coated in the luscious sauce.
Sprinkle the freshly grated parmesan over the pasta and mix until the cheese has melted and the sauce is smooth and cheesy. Taste and season with salt and pepper as needed.
Divide the pasta into serving bowls, garnishing each with extra parmesan and fresh basil leaves for the ultimate touch. Enjoy your restaurant-quality Pink Sauce Pasta immediately, serving it alongside a crisp salad and warm garlic bread for a complete meal.