After reading up on the rake ability in the Monster Manual III and looking further in the Player's Handbook, it appears that you cannot normally attack with more than one natural weapon while grappling. However, falcon-lion does get to rake with back claws (at no penalty) in addition to biting.
The falcon-lion bites and rakes twice for a total of 21 points of damage. Birdie has 66 HP remaining.
Round 644
Birdie tosses the falcon-lion out of the arena, and continues flying to 60N60E20Z.
Next in round 644 for Chaotic Evil is a howling dragon wyrmling (Draconomicon).
It has the maxed-out skills Intimidate, Knowledge (history, local, nature, nobility), Listen, Search, and Spot.
It has the feats Flyby Attack, Hover, Improved Initiative, and Weapon Focus (bite).