Khrushchev was hopeful for a peaceful resolution to the crisis, which is why he led a Soviet delegation to Belgrade in May 1955 to iron things out. But Tito tried to turn this into a PR disaster for the Soviets: His plan was to get them plastered in front of the cameras and embarrass them, because apparently Tito had never met a Russian before. To the surprise of basically nobody, Khrushchev was more than happy to oblige him. But, what started off as a bear trap quickly transformed into one of the most awesome parties in history, leaving Tito with little choice but to join in the vodka-fest himself.
"One! Just do one!"
The visit ended with a lavish party at the Soviet Embassy, where "Khrushchev got stupefyingly drunk... (he) kept trying to kiss everyone, particularly Tito, to whom he kept cooing, 'Josya, quit being so angry! What a thin-skinned one you are! Drunk up and let bygones be bygones.'" On June 2, while Tito and Khrushchev were probably still fighting off one of those epic, multiday hangovers, the USSR and Yugoslavia signed a joint resolution in Belgrade that effectively ended the crisis. It was one of the most unexpected successes in diplomatic history, and it was all made possible thanks to Nikita Khrushchev being a friendly drunk.
You KNOW these guys partied.