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 three people died and seven others, including two children, were missing after a small boat capsized off the California coast in a suspected migrant smuggling attempt, U.S. officials have stated.
Israeli Prime Minister Benjamin Netanyahu's security cabinet has approved a gradual expansion of the offensive against Hamas in Gaza, Israeli public broadcaster Kan reported on Monday.
Nine people died when "sudden strong winds" capsized four tourist boats and plunged 84 people into the water in Southwestern China, state media reported on Monday.
President Vladimir Putin said in remarks published on Sunday that Russia had sufficient strength and resources to take the war in Ukraine to its logical conclusion, though he hoped that there would be no need to use nuclear weapons.