Discard the sachet. Transfer 1 cup of the bean mixture to a blender and reserve.
Add the ditalini to the soup pot, cover, and bring the liquid back to a boil. Boil gently until the pasta is tender but still firm to the bite, about 8 minutes. Puree the reserved bean mixture until smooth, then stir the puree into the boiling soup. Season with salt and freshly ground black pepper. Ladle the soup into bowls.
Sprinkle each serving with some Parmesan and drizzle with extra-virgin olive oil.