It’s the story of a group of people who don’t know each other initially, each of whom has a strange superpower:
One guy is always followed by a flock of birds, no matter where he goes. Another guy throws a small stone far away, and it breaks a crater where it falls.
Through a series of amazing circumstances, they gather each other one by one somewhere in Portugal (or elswhere), and the landmass where they find themselves separates from the mainland and floats away with them on it into the ocean. All the other residents of this now-floating island manage to evacuate before the disaster.
In the end, there’s a scene on this island with a girl who has a passionate and deep love for a young man—she retreats with the old man and sleeps with him. The young man, though troubled, accepts this. They stand at the edge of a cliff looking out into the endless sea. The old man dies…