Grilled Chicken & Broccoli Penne Alfredo

1 cup grated parmesan, (the kind in the green can)
1/2 tsp salt
1/4 tsp black pepper
parsley for garnish
12 oz, penne pasta
1 head of broccoli, cut into florets
marinated & grilled Chicken Breast, sliced (We use this marinade)
Directions
Cook the penne in a pot of boiling, salted water until al dente, when there is 4 minutes left for the pasta to cook, add the broccoli florets to the boiling pasta water.  Drain in a colander but reserve 1/4 cup of the pasta water.  While the pasta is cooking, melt the butter in a medium sauce pan over medium-high heat.  Add shallots and saute until tender.  Add heavy cream and bring to a boil.  Reduce heat to medium and continue cooking, stirring often, until sauce has reduced slightly, about 5 minutes.  Remove from the heat and add the parmesan cheese, salt, pepper and the reserved cooking liquid, stir.  Toss the pasta and broccoli in the sauce.  Plate the pasta and broccoli and top with the sliced chicken breast.  ENJOY!