The Israel Defense Forces said in a post to X on Thursday that it killed the nephew and personal secretary of Hezbollah Secretary-General Naim Qassem in strikes on Beirut on Wednesday.

Ali Yusuf Kharshi, the IDF said, was a close associate and adviser to Qassem and "played a central role in managing his office and providing his security."

Israeli strikes killed at least 182 people in Lebanon on Wednesday, according to the Lebanese Ministry of Public Health.

President Donald Trump said in a post to social media late on Wednesday that all U.S. military assets in the Middle East will remain in place until an agreement is reached to end the war in Iran.

"All U.S. Ships, Aircraft, and Military Personnel, with additional Ammunition, Weaponry, and anything else that is appropriate and necessary for the lethal prosecution and destruction of an already substantially degraded Enemy, will remain in place in, and around, Iran, until such time as the REAL AGREEMENT reached is fully complied with," Trump wrote.

The president also vowed "bigger, and better, and stronger than anyone has ever seen before" military action against Iran if a full end to the war is not agreed to during the two-week ceasefire.

Trump said again that Iran will not have access to nuclear weapons and that the Strait of Hormuz will be fully opened.

"If for any reason it is not, which is highly unlikely, then the 'Shootin' Starts,'" he wrote. "It was agreed, a long time ago, and despite all of the fake rhetoric to the contrary -- NO NUCLEAR WEAPONS and, the Strait of Hormuz WILL BE OPEN & SAFE."

"In the meantime our great Military is Loading Up and Resting, looking forward, actually, to its next Conquest. AMERICA IS BACK!" the president wrote.

Trump also pushed back on reporting over Iran's 10-point peace proposal, which Tehran said will form the basis of negotiations in Pakistan this weekend.

Trump alleged that reporting of Iran's plan was "totally FAKE," a "hoax," and "meant to discredit the people involved in the peace process."

Among Iran's 10 points -- which have been published by Iranian state media and cited by Iran's Supreme National Security Council, plus Iranian parliament speaker Mohammad Bagher Ghalibaf -- are the lifting of all sanctions on Iran, continued Iranian control of the Strait of Hormuz and U.S. military withdrawal from the Middle East.

-ABC News' Alex Ederson

The Israel Defense Forces said Thursday that paratroopers from its 98th Division "have expanded their targeted ground operations into additional areas of southern Lebanon" over the past week.

"The brigade's troops have established operational control of the area and continue to strike Hezbollah terrorist infrastructure sites in order to reinforce the forward defensive area and remove threats to the residents of northern Israel," the IDF said in a post to X.

The IDF claimed to have "eliminated dozens of Hezbollah terrorists and located a range of weapons."

Hours after he met with NATO Secretary-General Mark Rutte at the White House, President Donald Trump posted on social media Wednesday that the organization "wasn't there" when the U.S. needed it and that the allies "won't be there" if needed again.

Trump has repeatedly complained that NATO allies didn't heed his calls for help throughout the conflict in Iran, especially in patrolling the Strait of Hormuz.

Trump posted on Wednesday: "Remember Greenland" -- in reference to NATO countries' staunch opposition to his desire to take the island late last year.

Rutte was at the White House for over two hours on Wednesday, but the visit was not open to the press.

-ABC News' Isabella Murray