I don't allow outside things for this reason. I supply blankets and stuffed animals for napping. I had one girl who had a stuffed animal and even at 5 yrs old she still brought it to daycare although it was never allowed out of the back pack. When she left I changed my policy - no more! We had meltdowns over it because it was forgotten at home, mom had to come pick it up here a few times as it was forgotten in the nap room. Nope!! No more.