US Secretary of State Marco Rubio has spoke with both Lebanese President Joseph Aoun and Israeli Prime Minister Benjamin Netanyahu on the diplomatic negotiations between Israel and Lebanon and has proposed a plan to allow for "gradual de-escalation", a US official said on Sunday.
The US has proposed that as a first step, the Hezbollah would stop all attacks on Israel and in return Israel would refrain from escalation in Beirut, the official said.
"This would create space for gradual de-escalation and an effective cessation of hostilities," according to the official.
They added that Aoun tried to advance the proposal and secure an agreement. However, Lebanese Parliament Speaker Nabih Berri, who claimed to "guarantee" Hezbollah's commitment to a ceasefire, placed the burden on Israel to stop "shooting first."
Netanyahu had said on Sunday that he ordered troops to move further into Lebanon in the battle against Hezbollah, despite a ceasefire announced more than six weeks ago.
In the latest advance, Israeli troops seized the 900-year-old Beaufort Castle and a strategic ridge in southern Lebanon, the military said earlier on Sunday, a day after one of the heaviest days of Hezbollah fire toward northern Israel since the April ceasefire, prompting school closures and restrictions.
The US official said that the US did not expect Israel to absorb ongoing attacks on its civilians from Hezbollah.

Israel to allow international force into Gaza, Israeli official says
Saudi Arabia reaffirms right to defend its security against drone attacks
Philippines' Marcos puts anti-graft campaign at centre of address to Congress
French police arrest man after knife attack in Paris
France and Spain race to curb wildfires before new heatwave arrives
