Jerusalem Post/World News“Our logic is to contain the fighting in Lebanon and not make it an issue in negotiations,” a US administration source said. Follow us on GoogleYechiel Leiter (far L), Israeli Ambassador to the US, and Nada Hamadeh (far R), Lebanese Ambassador to the US, attend a meeting hosted by the United States at the State Department in Washington, DC, on June 2, 2026. Leading the US delegation are Deputy National Security Advisor Mike Needham (C)(photo credit: Kent NISHIMURA / AFP via Getty Images)ByDANYA SAPERSTEIN, AMICHAI STEINJUNE 2, 2026 22:39During talks between Israel and Lebanon on Tuesday, senior members of the Israeli delegation said that Hezbollah did not stop fighting, despite promising US President Donald Trump to do so on Monday.Delegations from both Lebanon and Israel met at the US State Department on Tuesday to begin a scheduled two-day resumption of negotiations.Members of the Israeli delegation also said that Hezbollah publicly rejected the equation of a ceasefire in southern Lebanon in exchange for a ceasefire in northern Israel.The US is also forming a plan in which US forces will train their Lebanese counterparts to deal with Hezbollah in Beirut, KAN News reported on Tuesday.“Our logic is to contain the fighting in Lebanon and not make it an issue in negotiations,” a US administration source told KAN.The negotiations come a day after Prime Minister Benjamin Netanyahu canceled a strike on Beirut at the urging of Trump, with Iranian officials warning that military action taken by Israel against Lebanon would cause a halt in communication between Iran and the US. US Secretary of State Marco Rubio testifies before a Senate Foreign Relations Committee hearing on President Donald Trump's FY2027 budget request for the Department of State, on Capitol Hill in Washington, DC, US, June 2, 2026. (credit: REUTERS/Evan Vucci)Rubio: Iran trying to stymie Israel-Lebanon talksUS Secretary of State Marco Rubio said that while the US is trying to view the Lebanon-Israeli talks as separate and distinct from Iran, Iran wants to “mix it all together.”Iran is currently attempting to interfere with the talks between Lebanon and Israel “so that if an arrangement is reached at some point in the future, they can claim credit for having forced it through leverage,” Rubio said.Rubio also reaffirmed the US’s support for “demilitarizing and defanging Hezbollah, while at the same time strengthening the legitimate government of Lebanon.”Follow us on Google