Near a gray and unnamed city is the Zone, a place guarded by barbed wire and soldiers, and where the normal laws of physics are victim to frequent anomalies. A stalker guides two men into the Zone, specifically to an area in which deep-seated desires are granted.

Four vignettes on the lives of the Cuban people in the pre-revolutionary era. In Havana, Maria is ashamed when a man she loves discovers how she makes a living. Pedro, an old farmer, discovers that the land he cultivates is being sold to an American company. A student sees his friends attacked by the police while they distribute leaflets supporting Fidel Castro. Finally, a peasant family is threatened by Batista's army.

Veronika and Boris come together in Moscow shortly before World War II. Walking along the river, they watch cranes fly overhead, and promise to rendezvous before Boris leaves to fight. Boris misses the meeting and is off to the front lines, while Veronika waits patiently, sending letters faithfully. After her house is bombed, Veronika moves in with Boris' family, into the company of a cousin with his own intentions.