Washington, June 1 -- US Secretary of State Marco Rubio is leading efforts for "consolidating the ceasefire in Lebanon", with a potential breakthrough expected as early as Tuesday, according to Lebanese media.

"If these efforts succeed, that will be announced after the Tuesday negotiations session" between Lebanese and Israeli diplomats, Lebanon news outlet LBCI television reported on Monday.

The Donald Trump administration has proposed a new ceasefire initiative to Israel and Lebanon, as part of its efforts to de-escalate fighting that has renewed following weeks of reduced conflict, and as a larger motivation to reach a deal with Iran, multiple media outlets have reported.

Rubio spoke over the last 48 hours with both Lebanese Preside...