Parrots can take a long time to learn to trust us. They have long lives and long memories! Dylan was 22 when I got her. (23 now) I did not even offer her my hand for a couple of weeks, unless there was food or treats in the fingers!
Conures are excitable, and very smart. Probably, they are bonded and afraid to be apart in this new place, like others have said. Make sure that only good things happen when you are there. No loud noises, running children, strangers. Just hang out, quietly.
Fingers are easy to bite! Offer an arm for stepping up -- an arm with a jeans jacket if necessary! Or use a wooden perch. When Puff does come near or step on the arm, favorite treats! Find out the most favorite treat, and never give it unless Puff steps up! Even give the treat to the friend when Puff steps up, they are smart and want the friend to have the treat!
Have the young bird step up, give the best treat, then offer it to Puff behind your jeans covered arm, Puff steps up, gets treat ASAP.