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.
At least one police officer was killed and dozens of people injured in Pakistan as supporters of jailed former Prime Minister Imran Khan clashed with security forces outside the capital Islamabad on Monday, officials and Khan's party said.
A small plane travelling to Costa Rica's capital of San Jose crashed on Monday afternoon, authorities said, killing five of the six passengers on board.
Israeli strikes pummelled south Beirut on Monday, Lebanese official media said, while health authorities reported 31 people killed across the country, most of them in the south.
A US judge on Monday dismissed the federal criminal case accusing Donald Trump of attempting to overturn his 2020 election defeat after prosecutors moved to drop the case and a second case against the president-elect, citing Justice Department policy against prosecuting a sitting president.
Sectarian fighting in northwestern Pakistan which killed more than 80 people last week restarted on Monday, officials said, breaching a seven-day brokered ceasefire.