Melt 2 tablespoons of the butter in a large heavy saucepan over medium-high heat. Add the Brussels sprouts and stir for 1 minute to coat them with the butter. Add the broth, cover and simmer for 7 minutes, or until the Brussels sprouts are tender. Uncover and continue to simmer for 4 minutes or until all of the broth evaporates. Transfer the Brussels sprouts to a medium bowl.
Melt the remaining 1 tablespoon butter in the same pan. Add the sunflower seeds, scallions and chile and saute for 2 minutes, or until the nuts are toasted and the chile is tender. Stir in the cream and bring to a boil. Reduce the heat and return the Brussels sprouts to the pan. Toss to coat with the cream and season the Brussels sprouts to taste with salt and pepper.