As a street painter paints out a white line in the middle of a road, Penelope is being chased by a dog and runs right under the paint tank, getting a white line across her spine whilst the dog crashes into the tank and painter. Upset with the dog for making a mess of his work, the painter kicks the dog down the hill.
Pepé emerges from a fishing boat, scaring the boatman and sinking the boat. Pepé spies Penelope on a beach. He rushes and catches her with a few smooches while she wriggles her way out. As she scurries away, Pepé grabs her tail and rides it until he slams into a post. After a bit of daydreaming, Pepé resumes his chase.
Pepé pursues Penelope but slips on the sand and falls down a sea cliff into the sea. As Penelope reaches the rocks below, Pepé emerges, embracing her and offering to get her a glass of water. When Pepé returns with the glass of water, he finds she has run off.
Pepé finds, embraces and kisses Penelope on a boat but Penelope makes her escape in the sea with a diving mask and oxygen tank. Pepé follows, wearing a mask and flippers but no oxygen tank (being a skunk, he can hold his breath for a long time). A shark approaches and eats Pepé, but Pepé's stink makes the shark spit him out and flee on the beach.
For a long time Penelope swims under the sea until sunset where she surfaces to find a nearby island. As she removes her diving gear, she finds Pepé waiting for her. As Pepé endlessly chases Penelope, the island is revealed to be heart-shaped from birdseye view.