In "Piglet Meets a Heffalump," Piglet becomes frightened after hearing strange noises in the woods and imagines that a Heffalump, a fearsome creature, is nearby. Determined to catch it, he sets a trap by digging a hole and covering it with branches. Piglet nervously waits, convinced that the Heffalump is lurking nearby.

When the creature finally approaches, Piglet is terrified, but it turns out to be Pooh, who had wandered off looking for honey and accidentally fell into the trap. Piglet realizes that the Heffalump was just a figment of his imagination, and there was no real danger after all. The story highlights how fear can beblown out of proportion and shows the importance of friendship and bravery in facing what we fear.