Israel gave the United States a document last week with its conditions for a diplomatic solution to end the war in Lebanon, Axios reported, citing two US officials and two Israeli officials.
Israel has demanded its forces be allowed to engage in "active enforcement" to make sure Hezbollah doesn't rearm and rebuild its military infrastructure close to the border, Axios reported, citing an Israeli official.
Israel also demanded its air force have freedom of operation in Lebanese air space, the report added.
A US official told Axios it was highly unlikely that Lebanon and the international community would agree to Israel's conditions.
The White House could not be immediately reached outside regular business hours. The US State Department did not immediately respond to a request for comment.
The embassies of Israel and Lebanon in Washington did not immediately respond to a request for comment.
White House special envoy Amos Hochstein is visiting Beirut on Monday to discuss a diplomatic solution to the conflict, the report added.
US President Donald Trump on Sunday called on Ukrainian President Volodymyr Zelenskiy to stop targeting Russian diesel infrastructure, saying the attacks were causing a shortage of the fuel that is "hurting the world".
Indonesian rescuers were searching on Sunday for 130 people from a passenger ship that sank in the Java Sea after 113 others were evacuated, the country's search and rescue agency said, adding that six people had died.
A Russian drone hit a passenger train on Ukraine's border with NATO member Poland on Sunday, shortly after former British Prime Minister Boris Johnson and other European diplomats had used the same line.
At least five people were wounded in a Russian attack on the Ukrainian city of Odesa on Sunday morning, officials said, a day after strikes on the city killed two people.
Authorities in the Philippines said on Sunday it could take weeks or months to identify the victims of a ferry fire that killed 76 people, as forensic experts begin collecting and comparing DNA samples and investigators determine the cause.