Aoun said he hoped the agreement would be a "positive step towards reducing tensions and opening the door to diplomatic solutions", while Araghchi emphasised "the importance of respecting Lebanon's sovereignty", a statement said.

Iran's state news agency IRNA reported that Araghchi spoke with Lebanese parliament speaker Nabih Berri, an ally of militant group Hezbollah, which has been fighting a war with Israel in Lebanon since March 2.

In the calls, Araghchi briefed them on the details of the agreement with the United States "particularly the provisions relating to Lebanon," IRNA reported.

He also reinforced Iran's commitment to "ending the war and aggression in Lebanon", saying a complete halt to Israeli attacks was necessary.

Lebanese officials "expressed appreciation" to Araghchi for including the ending of war in Lebanon in the memorandum of understanding with the United States, IRNA said.

Hezbollah said on Monday it had repelled an Israeli force that was trying to "advance" in southern Lebanon, despite the US-Iran agreement.

The Lebanese movement drew the country into the Middle East war on March 2 with rocket fire at Israel to avenge the killing of Iran's supreme leader in US-Israeli strikes.

Israel responded with airstrikes and a ground invasion that Lebanon says have killed more than 3,700 people and displaced more than one million others.