Animal Friendship - Her pet Nexxu is one example but during a stampede caused by and assassination attempt Allana was able to calm several animals saving lives.
Force Healing - She has been wounded a few times and Han has remarked that she is a quick healer just like her mother.
Mind Trick - She has not mastered this one but she has used them on guards and people trying to attack falcon on Dantooine.
Precognition- This is probably her strongest and most prominent talent. Probably first seen while kidnapped on Jacen's flagship.
Force Bellow - She was cornered and about to be captured and let out a loud scream that stunned her attacker allowing her to flee.
Force Stealth - Taught to her by her father when she was very young for her protection
Other than force stealth most of her abilities seem to come naturally and are untrained.