Iran live updates: Trump says Iran wants to make a deal, but he isn't 'satisfied'

Iranian State TV has released details of what it said is in a possible Memorandum of Understanding between Iran and U.S., but aknowledged the agreement has not yet been finalized.

As part of the agreement, U.S. military forces will withdraw from the surrounding environment of Iran, and the naval blockade of Iran will be lifted, Iranian State TV said.

In return, Iran has committed to restoring the number of commercial transit ships to pre-tension levels within one month. Military vessels are not included in this agreement, according to Iranian State TV.

The management and routing of ship traffic will be carried out jointly by Iran and with the cooperation of Oman, according to Iranian State TV.

If a final agreement is reached within a 60-day period, the deal will be confirmed through a binding United Nations Security Council resolution, according to Iranian State TV.

The White House Rapid Response account railed against the reports of an initial memorandum of understanding between the U.S. and Iran, claiming it to be "not true" and a "complete fabrication."

"This report from Iranian controlled media is not true and the MOU they 'released' is a complete fabrication. Nobody should believe what Iranian state media is putting out. FACTS MATTER," the Rapid Response X account said, in response to a Fox News broadcast detailing the report of the alleged document. 

Israeli attacks killed at least 31 people and wounded 40 others in Lebanon on Tuesday, according to the Lebanese Ministry of Public Health, as Israel said it was "deepening" its military operation there.

Four children were among the dead and 10 other children were among the injured, the health ministry said.

Since March 2, Israeli forces have killed at least 3,213 people and wounded another 9,737 across Lebanon, according to the latest tally from the health ministry. The continued killings come despite a U.S.-brokered ceasefire agreed between Lebanese and Israeli leaders in April.

Israel claims its strikes are targeting Hezbollah fighters and infrastructure, but Lebanese officials have reported many civilians among the casualties.

On Wednesday, Israel Defense Forces spokesperson Avichay Adraee issued a new evacuation order for the southern Lebanese city of Nabatieh, warning that the IDF intended to act "forcefully" against alleged Hezbollah targets in the area.

Hezbollah, meanwhile, continues its attacks on Israeli forces prosecuting Israel's ground campaign inside southern Lebanon. The Iran-backed group is also regularly launching longer-range attacks into northern Israel.

-ABC News' Morgan Winsor

Vice President JD Vance told NBC News in an interview published on Tuesday that he feels "extremely hopeful" the country will agree to a deal that includes a commitment not to develop nuclear weapons.

Vance's comments follow Iran's accusation that the U.S. breached the ceasefire between the two countries after U.S. Central Command said it carried out "self-defense" strikes on Monday.

"I think the more difficult question," Vance said, "is whether they agree to the kind of enforcement mechanism, the kind of monitoring mechanism, that gives us confidence that they won't violate the deal in the future."

Vance also said that his faith has informed his thinking throughout the conflict.

Vance said that "just war" theory forces leaders "to ask very difficult questions about whether a war is justified."

"But at its best," Vance said, "it's forcing you to ask the right questions. So, I find myself constantly asking myself, 'Is this justified? Is this moral? Is this the right thing to do?' And that does provide a limitation on political leaders, as it should."

-ABC News' Hannah Demissie

Monday's strikes in Iran were prompted by the U.S. detecting a pattern of increasing and potentially threatening Iranian activity over a 24-hour period, according to a U.S. official.

U.S. Central Command had said Monday that U.S. forces "conducted self-defense strikes in southern Iran to protect our troops from threats posed by Iranian forces."

"Targets included missile launch sites and Iranian boats attempting to emplace mines," it said.

-ABC News' Luis Martinez