Israel's state-run Kan broadcaster said Sunday that Israel has signed off on a U.S.-backed ceasefire with Hezbollah in Lebanon and Prime Minister Benjamin Netanyahu is now working on how to present it to the public -- assuming it is approved by the Lebanese group.

The aim is to present the truce not as a “compromise” but as beneficial to Israel, Kan reports.

Lebanon's state media reported a slew of Israeli air strikes on Beirut's southern suburbs on Sunday, after the Israeli military posted evacuation calls online for parts of the Hezbollah bastion.

Hezbollah fighters and Israeli troops engaged in fierce clashes Saturday at the key south Lebanon town of Khiam and in the coastal Bayada area several kilometers north of the border.

The official National News Agency (NNA) reported intense air and artillery bombardment of Khiam, about six kilometers (nearly four miles) from the frontier.

U.S. Defense Secretary Lloyd Austin stressed that the United States was dedicated to a diplomatic resolution in Lebanon and urged Israel to improve "dire" conditions in Gaza, in a call Saturday with his Israeli counterpart.

Austin "reiterated U.S. commitment to a diplomatic resolution in Lebanon that allows Israeli and Lebanese civilians to return safely to their homes on both sides of the border" in his call with Israel Katz, a Pentagon spokesperson said.

The EU's foreign policy chief Josep Borrell called for an "immediate ceasefire" in the Israel-Hezbollah war while on a visit to the Lebanese capital for talks.

An Israeli strike on a Lebanese army center on Sunday killed one soldier and wounded 18 others, the Lebanese military said.

It was the latest in a series of Israeli strikes that have killed over 40 Lebanese troops, even as the military has largely kept to the sidelines in the war between Israel and Hezbollah militants.

U.S. mediator Amos Hochstein resumed communication with Ain el-Tineh upon his arrival in Washington from Israel, conveying a "positive atmosphere," NBN television, which is affiliated with Speaker Nabih Berri, reported.

Israel appears to be trying to create a buffer zone in south Lebanon to remove the threat from Hezbollah but its effectiveness in preventing cross-border attacks remains to be seen, observers say.

U.S. President Joe Biden and his French counterpart Emmanuel Macron discussed overnight efforts towards a ceasefire in Lebanon, where Israel is fighting with Hezbollah, the White House said.

Lubnan Baalbaki, the conductor of the Lebanese Philharmonic Orchestra, watched on his phone screen as an aerial camera pointed to a village in southern Lebanon. In seconds, multiple houses erupted into rubble, smoke filling the air. The camera panned right, revealing widespread devastation.

He zoomed in to confirm his fears: His family's house in the border village of Odaisseh, where his parents are buried, was now in ruins.