As a top adviser to Iran's supreme leader Ali Khamenei visited Lebanon for talks, Lebanese officials said a U.S. proposal for a cease-fire deal had been passed on to Hezbollah.

Hezbollah is considering a US-Israeli ceasefire proposal, sources told CNN, as diplomatic efforts to end the conflict between Israel and the Lebanese militant group intensify.

Israel carried out more strikes on Hezbollah targets in Lebanon Friday, leveling a building in Beirut. The attack comes as a top Iranian official is vowing to support the Lebanese and the U.S. pushes for a cease-fire.

He appeared to be urging it to press the militant group, a close ally of Iran, to agree to a deal that could require it to pull back from the Israel-Lebanon border.

"If the challenges and the prices paid are so big, then we can take advantage of them to get the situation back to normal," he said, calling on Hezbollah and the Lebanese state to