Friends got DD a cup, plate, bowl, spoon/knife/fork set from IKEA. I wouldn't have thought to do so, but DD loved it.
If they are flying, maybe a mini pillow pet?
My DD also likes the fridge magnets. I wouldn't be concerned that they are for 2s. 1s can play with them just fine. The LeapFrog ones are constructed such that the magnets are not accessible to little people.
Or maybe something sent to their home, like Mable's Labels? Toddlers collect things (like sippy cups and snack cups) and everybody uses the same stuff. The labels wear really well (ours get thrown around, stuffed in the dishwasher, roll around the car...still look great) and they're great for play dates or daycare. Not to mention, labels take up no room.