In a medium-sized pot, heat 1 teaspoon olive oil over medium-high heat. Add sausage and cook until heated through and edges begin to brown, about 5 minutes.
Drain sausage on a paper towel-lined plate and set aside.
In the same pot, heat the remaining 2 teaspoons of olive oil over medium heat until shimmering. Add the shallots, green bell pepper, and Cajun seasoning, and stir frequently until the pepper is softened and the onion edges begin to brown, about 5 minutes. Add the garlic and cook until fragrant, about 30 seconds.
Add stock, cooking wine or chicken broth, pasta, and tomatoes to the pot. Stir the mixture quickly, bring it to a low boil, and then reduce heat to medium-low. Cover and cook the pasta until al dente, stirring often, about 15-18 minutes.
Uncover and reduce heat to low. Add heavy cream and Parmesan cheese, and stir until cheese is melted. Stir in the reserved sausage, simmer the mixture for 5 minutes, and then season with salt and black pepper to taste.
Garnish with sundried tomatoes, parsley, and shaved Parmesan cheese. Serve.
Notes
Adjust the spice level by using more or less Cajun seasoning or adding a pinch of cayenne pepper or red pepper flakes if you like it extra spicy.
Try adding a bit of smoked paprika or using smoked sausage instead of traditional andouille for a smokier flavor.