Does your child have a comfort toy?
My nearly 2 yo DS has a Panda Bear "Suzie" that he just wants to carry around everywhere! To the point that we have tears when I make Suzie sit on the chair while he has dinner. He has a few books that have pictures of Panda's in them, and if he sees the Panda in the book, he says "DEE" (thats how he pronounces Suzie) and runs off to his room to find her!
He LOVES her to bits. Suzie is a well traveled Panda. We did a 5 week trip of the UK and Suzie came with us.