The Glassboro Summit Conference, usually just called the Glassboro Summit, was the 23–25 June 1967 meeting of the heads of government of the United States and the Soviet Union—President Lyndon B. Johnson and Premier Alexei Kosygin, respectively—for the purpose of discussing Soviet Union–United States relations in Glassboro, New Jersey. During the Arab–Israeli Six-Day War diplomatic contact and cooperation increased, leading some to hope for an improvement in the two countries' relations. Some even hoped for joint cooperation on the Vietnam War. Although Johnson and Kosygin failed to reach agreement on anything important, the generally amicable atmosphere of the summit was referred to as the "Spirit of Glassboro" and is seen to have improved Soviet–US relations. Background With the United States gradually losing ground in the Vietnam War, the administration was looking for other solutions to the conflict. On 5 June 1967 the Six-Day War began between Israel and the Arab states. The war led to an increase in Soviet-US diplomatic contact and cooperation; there were some who hoped this could continue to help the US solve the Vietnam war and other pressing international issues. On June 10, 1967, Premier Alexei Kosygin wrote a letter to contact President Lyndon B. Johnson. The "hot line" message arrived at the White House to seek communication between the United States and the Soviet Union. Alexei Kosygin gives a quick explanation of what the Soviet Union and United States should do in regards to the Middle Eastern Crisis. In the message Alexei Kosygin writes: Several days later the Soviet Union sent Premier Alexei Kosygin to New York City to deliver a speech on the then-ongoing Middle Eastern crisis at the United Nations headquarters. When the United States government was informed of this the Americans gladly welcomed Kosygin to a meeting between him and President Lyndon B. Johnson. On 13 June 1967 Johnson sought out J. William Fulbright, a Senator, at a White House reception. Llewellyn Thompson, then US ambassador to the USSR, believed that a conference could "start the process of moving toward an understanding with the Soviets". Fulbright even believed that Johnson was reconsidering his Vietnam strategy. Later Fulbright wrote two letters to Johnson about the importance of a summit between the two nations. Johnson agreed, and wrote a letter in return, which said they were waiting for a Soviet response for US invitation. Walt Rostow, the National Security Advisor at the time, said