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Somewhat surprisingly, in old Danish stories Death is actually pretty nice (when it's not a headless horse). The stories tend to be about a man or woman walking to somewhere when suddenly a stranger shows up. They're friendly and chatty and keep the person company until they encounter something or get to the destination and suddenly the stranger looks like a corpse and the person realize it was Death all along.
One such story is about a man who meets another man and they walk together. They see a group of men on the road so the man turns to the stranger because he's worried and the stranger looks at him with "a death face" and disappears. The group of men turns out to be a gang of robbers and kills the man.
In this case I like to think it's a sad/cute story about the man Tage who has an illness and is kept company by a friendly Death trying to make him less afraid.