The United States is leading a new push to end fighting in both Gaza and Lebanon, Reuters reported on Wednesday, citing both Lebanese and Western sources familiar with the initiative.

According to the report, details of the plan, which would see a truce between Israel and the Hezbollah and Hamas terror organizations, are being worked on at the United Nations General Assembly in New York.

The report noted that the deal could possibly also include the release of the remaining hostages from Hamas captivity.

As the exchanges of fire between Israel and the Hezbollah terror group have intensified in recent days, this is the first time both fronts have been tied in the same attempt to reach a truce.

"If you don't put together a package, it's impossible to get an agreement and the war won't stop," the second Lebanese official said.

A senior Lebanese official and a source familiar with Hezbollah's thinking told Reuters that Hezbollah was "open to any settlement that would include both Gaza and Lebanon."

A source with knowledge of the matter confirmed to Kan News that the US and France are talking to Israeli and Lebanese officials to advance a new deal and diplomatic solution in the north.

An Israeli source commented: "We have no problem discussing any arrangement with the Americans as long as it brings security and a feeling of security to the residents of the north, just as we had discussions with the Americans over the past year. However, at the moment, it would seem that there is no partner on the other side."