Sauté the Vegetables: In a large pot, heat the olive oil and butter over medium heat. Add the diced yellow onion, carrots, and celery. Sauté until softened, about 5 to 7 minutes, enjoying the lovely aromas!
Add Garlic and Seasoning: Stir in the minced garlic along with the Italian seasoning blend. Cook for an additional minute, letting the flavors meld together.
Add Broth and Beans: Pour in the vegetable or chicken broth and bring to a boil. Add in the white beans and the parmesan cheese rind (if using). Reduce the heat and let it simmer for 20 minutes.
Season and Serve: Season with salt and black pepper to taste. Remove the cheese rind before serving, and ladle the soup into bowls. Top with freshly grated parmesan cheese and a sprinkle of chopped rosemary or parsley for that finishing touch.