Iran's Foreign Minister Abbas Araghchi said on Tuesday that ending the war on all fronts, including Lebanon, was "the most important" issue in the peace deal with the United States announced the day before.

Speaker Nabih Berri revealed Monday that a phased, 60-day Israeli withdrawal from south Lebanon is mentioned in the latest peace deal between Iran and the U.S., whose details are yet to be officially disclosed.

In remarks to the "Whyz" news portal, Berri added that he rejects the so-called "pilot zones" that have been recently proposed by Washington.

U.S. President Donald Trump on Monday hinted that he wants to put an end to the Israel-Hezbollah conflict.

Israeli Prime Minister Benjamin Netanyahu said on Monday that Israel's forces would remain in Gaza, Lebanon and Syria "for as long as necessary," hours after a deal was announced between Iran and the U.S. to end the Middle East war.

Hezbollah said on Monday it had repelled an Israeli force that was trying to "advance" in southern Lebanon, despite the U.S.-Iran agreement to end the Middle East war on all fronts including in Lebanon.

The Iran-backed group said the attack came in response to Israel's violation of the ceasefire on Monday.

President Joseph Aoun on Monday welcomed the announced U.S.-Iran deal to end the Middle East war during a call from Tehran's top diplomat and foreign minister Abbas Araghchi, the Lebanese presidency said in a statement.

The Lebanese leader said he hoped the agreement would be a "positive step towards reducing tensions and opening the door to diplomatic solutions," while Araghchi emphasized "the importance of respecting Lebanon's sovereignty and territorial integrity by all parties," the statement said.

When Kamal Kamal heard a ceasefire deal had been agreed between Iran and the United States, he rushed back to the southern city of Nabatieh only to find an Israeli strike had reduced his life's work to rubble.

A deal between Washington and Tehran that ends the Israel-Hezbollah war leaves many issues in Lebanon unresolved, failing to mention Israel withdrawing from the country or an end to Tehran's support for the militant group.

MP Hussein al-Hajj Hassan on Monday said that Hezbollah and Speaker Nabih Berri have been informed by Iran that Israeli withdrawal is included within the "framework of the agreement" with the U.S. and that "its details will be discussed soon."

Prime Minister Nawaf Salam hoped Monday that the ceasefire agreement reached by the U.S. and Iran will succeed in "ending this war and halting the killing, destruction, displacement and all the other tragedies and suffering inflicted upon the Lebanese people."