In a large skillet, heat olive oil over medium-high heat. Add onions, carrots, and Italian sausage. Cook, stirring frequently and breaking up sausage, until sausage is browned and cooked through and onions are translucent. Add kale and continue to stir and cook until kale is wilted (1-2 minutes).
Add tomatoes, beans, and broth and cook until heated through. If you desire the stew to be more soup-like, add more broth.
Serve garnished with croutons, fresh parsley and grated Parmesan cheese.
This stew can be served immediately or you can let it simmer awhile until you're ready to serve it.