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."

The U.S.-Iran agreement to conclude the Middle East war is a significant strategic setback for Israel and underscores its waning influence in Washington, Israeli analysts said.

Although the accord, announced by Pakistan early Monday, remains incomplete and is expected to be finalized within 60 days, its preliminary framework has already raised concern in Israel.

Hezbollah thanked its backer Iran on Monday for insisting that Lebanon, where Israel and the militants have been at war, be included in the deal to end the Middle East conflict.

"Hezbollah expresses its profound gratitude" to Iran's leaders, forces and people "for their steadfast support of Lebanon, its people and its resistance, and for their insistence that Lebanon be included in any understanding leading to the cessation of war", the group said in a statement.

Iran's foreign ministry on Monday said the United States must ensure that Israel commits to stopping the war in Lebanon under a framework deal to end the Middle East war.

"The United States must honor its commitments. It must ensure that the Zionist regime also respects its own regarding Lebanon," said foreign ministry spokesman Esmaeil Baqaei in a press briefing, adding that Tehran "neither trusts Israel nor the United States".

A Hezbollah official told Reuters ​on Monday that ‌the group has not carried out any ​operations since the ​Iran-U.S. deal was announced ⁠and that its ​position on the ceasefire ​was linked to Israel's adherence to it.

The deal between the United States and Iran to end their war, negotiated in secret and still not revealed in detail, was greeted with skepticism but a measure of relief among ordinary people across the Middle East.

In Lebanon, AFP saw displaced people preparing to return to homes they fled in the south of the country, despite Israeli ministers declaring that they do not feel bound by the agreement to halt their own offensive against Hezbollah.

An Israeli drone targeted Monday a car in the southern town of Kfartebnit near the Israeli-designated "Yellow Line", where Israeli troops remain despite the announcement of a U.S.-Iran deal.

The strike killed the car's driver. Another drone strike on a car earlier in the day had wounded several people in the same town.