I think they do the present thing like cats. We have a resident dog at the shelter, Lady, who is the best ratter ever known. We always know if she has caught anything overnight as when we arrive in the morning she is sitting by the gate whining and shaking from head to foot. When we then investigate the volunteer's coffee room (where she sleeps on a sofa) we find a neatly presented rat placed next to her food bowl. She is so proud of herself when this happens.