Cockatiels have a little storage pouch called the crop. In this little pouch your cockatiel will have semi digested food and other fluids. Your tiel might regurgitate these contents to feed the young, sometimes for courting another cockatiel. In other instances when regurgitation is very frequent it might be a sign of illness, like a possible infection or problems with your cockatiel's digestive system.
For some cockatiels regurgitation is a sign of affection and caring. We have seen cases where a lonely cockatiel might try to regurgitate towards a favorite toy or even a person who the cockatiel loves. If your tiel regurgitate towards you, your cockatiel is just showing a sign of affection and is trying to feed you.
If there's a digestive issue or and obstruction in the digestive track, a cockatiel might try to regurgitate, if this is the case do seek veterinarian advice.
As always the information offered here is to provide guidance and is not intended to be a substitute for the good advice provided by your own avian vet. When in doubt always consult your own veterinarian.