Senior Israeli officials say the negotiations on a cease-fire deal in Lebanon are "in advanced stages," according to Israel's Yedioth Ahronoth newspaper.
White House special envoy Amos Hochstein may travel to Israel and Lebanon before the November 5 U.S. presidential elections to attempt to reach final agreements, the report says.
If the talks advance, the Israeli army will "begin to withdraw most of its troops and redeploy forces in south Lebanon," leaving areas where "their mission to remove the threat from the Radwan forces has been completed," the report adds.
The Israeli troops will likely remain "only where there is tactical significance."
The officials in Israel said that Lebanon's situation has "completely changed" after the Israeli offensive and that "there is an agreement in Beirut to disconnect both the Lebanon and Gazan fronts."
They stressed the fact that "fighting would continue while negotiations are ongoing and until they are completed."
Western intelligence sources believe Iran would allow Hezbollah to agree to a ceasefire, and perhaps even encourage it, even if the fighting in Gaza does not end.
The Israeli officials said a cease-fire agreement would begin with a 60-day acclimation period during which Hezbollah and the Israeli army withhold their fire and the Lebanese Army would deploy to the south, while a new mechanism to supervise the region will be considered but there will be no new resolution passed in the U.N. Security Council.
French and American officials said recently that Hezbollah, which suffered severe blows and lost all of its leadership, has been bolstered in the past two weeks by the growing number of casualties among Israeli soldiers.