Set a deep skillet that has a lid over medium-high heat. Add oil and, when hot, add sliced sausages. Cook for 2-3 minutes, stirring once or twice, until beginning to brown on the edges.
1 teaspoon olive oil, 4 links Italian-style chicken sausage
Add sliced peppers and cook for 2 minutes more.
1 bell pepper
Add minced garlic and cook for 30-60 seconds, just until fragrant
2-3 cloves garlic
Pour in the diced tomatoes with their liquid, broth, and Italian seasoning. Scrape the bottom of the bottom of the pan to remove any browned bits, and bring the mixture to a rapid simmer.
1 (15 ounce) can diced tomatoes, 1 cup chicken broth, 1/2 teaspoon Italian seasoning
Add the tortellini and stir well, trying to get most of the tortellini in an even layer at least partly submerged in the liquid. Cover the pan and cook for 5 minutes. After 5 minutes, remove the lid and simmer until the tortellini are tender and the liquid is reduced as much as you like.
10 ounces fresh tortellini
Stir in the fresh basil and Parmesan. Season with salt and pepper to taste, and serve right away with more Parmesan as desired.
1/4 cup fresh basil, 1/4-1/2 cup grated Parmesan cheese, kosher salt and black pepper