 However, the CIA's unsuccessful Bay of Pigs invasion (17 April 1961) by anti-communist Cuban exiles impelled the Republic of Cuba to side with the Soviet Union in the geopolitics of the bipolar Cold War.The Cuban missile crisis (22–28 October 1962) occurred when the United States opposed Cuba being armed with nuclear missiles by the Soviet Union.After a stalemate confrontation, the United States and the Soviet Union jointly resolved the nuclear-missile crisis by respectively removing United States missiles from Turkey and Italy and Soviet missiles from Cuba.