US special envoy Amos Hochstein said on Monday that the United States was working on a formula to end the conflict between Israel and Lebanese armed group Hezbollah for good, and that merely committing to a previous UN resolution would not be enough.

United Nations Security Council Resolution 1701 states that only the Lebanese army and UN peacekeepers should be deployed in southern Lebanon, while demanding the withdrawal of Israeli forces from Lebanese territory.

It may have ended the last round of conflict between Israel and the Lebanese militant group Hezbollah in 2006, but the Iranian-backed Shi'ite movement did not end its presence.

Attention has focused on the resolution again during the latest Israel-Hezbollah war that erupted last month after nearly a year of cross-border fire.

Hochstein, visiting Lebanon for the second time in two months, was holding talks with Lebanese officials in a new US mediation push to bring peace to the Middle East after Israel killed Hamas leader Yahya Sinwar last week.

"Both sides simply committing to (UN resolution) 1701 is not enough," Hochstein told a press conference in the capital Beirut.

While the resolution remained as a basis for ending the conflict, additional measures were needed to ensure it was implemented "fairly, accurately and transparently".

"We are working with government of Lebanon, the state of Lebanon, as well as the government of Israel to get to a formula that brings an end to this conflict once and for all," he said.

Israel's assault on Hezbollah has raised fears of a wider regional conflict between Israel and Hezbollah's patron, Iran.

After what he called a "very constructive" meeting with Parliament Speaker Nabih Berri, a close ally of Hezbollah who has been engaging in diplomatic efforts to end the conflict, Hochstein said:

"The United States wants to end this conflict absolutely as soon as possible. That is what President Biden wants, that is what we all are working towards." (Reuters/AFP)