Prepare the fusilli according to the package instructions for all dente. Strain pasta and set aside.
While the pasta is cooking, in a large pot or skillet add the extra virgin olive oil and bring to high heat. Next, add in the garlic and sauté until golden, about 1-2 minutes.
Next, add in the broccoli rabe, salt, and ground black pepper.
Sauté for 5 minutes, mixing occasionally.
Next, add in the vegetable broth and bring to a simmer. Simmer for 10 minutes, mixing occasionally, or until the broccoli rabe stems are tender.
Finally, add in the cooked fusilli and cook 5 minutes, mixing occasionally. Add some red pepper flakes if desired.