The foreign ministers of Egypt, Qatar, Jordan, Saudi Arabia and the United Arab Emirates released a joint statement Monday in support of the current cease-fire deal.

The ministers met virtually to discuss the proposal and mediation efforts to reach a deal and hostages-for-prisoners swap, as well as the sufficient entry of aid into Gaza, the statement said.

The G7 leaders also issued a statement in support of the current deal.

President Joe Biden outlined Israel’s cease-fire proposal accurately in his Friday speech, the White House maintained Monday, pushing back on suggestions he miscommunicated the offer.

"The Israeli foreign minister himself acknowledged that this was the Israeli proposal ... and we're confident that it accurately reflects that proposal, a proposal that we worked with the Israelis on," White House national security communications adviser John Kirby told reporters.

Kirby also argued that Biden "felt it was important" to reveal details from ongoing cease-fire negotiations for the first time, saying it was meant to apply pressure on Hamas, not to corner Israeli Prime Minister Benjamin Netanyahu.

"We don't typically go through the details of these kinds of proposals," Kirby said. "But in this case, given where we are, given how much longer the hostages have now been held, given the fact that Hamas has reneged on several past occasions, on proposals that were sent to them, and given the fact that the Israelis really did work hard to come up with this proposal, and did so in good faith, the president felt it was important for the first time to publicly lay that out."

"This wasn't about jamming the prime minister or the war cabinet," Kirby added. "This was about laying bare for the public to see how well and how faithfully and how assertively the Israelis came up with a new proposal, how it shows how much they really want to get this done."

Kirby said Biden delivered the speech on Friday afternoon because the deal was presented to Hamas the night before.

"We're awaiting an official response by them now to take the deal," Kirby said. "This gives them what they've been looking for, which is a cease-fire and over time, and through the phases, the potential withdrawal of Israeli forces from Gaza."

-ABC News’ Fritz Farrow

Israeli Prime Minister Benjamin Netanyahu has released his first public statement since President Joe Biden's Friday speech endorsing the original Israeli cease-fire deal.

"We are working in countless ways to return our abductees," Netanyahu said in Hebrew on Monday. "That's why we went a long way to bring them back, but in the process of this action we maintained the goals of the war, chief among them the elimination of Hamas."

"We insist that we complete both this and that. It's part of the outline, it's not something I'm adding now, it's not something I'm adding because I was pressured in the coalition, it's something we unanimously agreed on in the war cabinet," Netanyahu added.

-ABC News’ Bruno Nota and Dana Savir

More than 1 million people have fled Rafah in the weeks since Israel issued evacuation orders, the local U.N. agency said Monday.

"Thousands of families now shelter in damaged & destroyed facilities in Khan Younis, where UNRWA keeps providing essential services despite increasing challenges," the U.N. Relief and Works Agency for Palestine Refugees said in a statement.

The agency added, "Conditions are unspeakable."

-ABC News' Kevin Shalvey

The Hamas military wing claimed in a statement Sunday that three hostages, including an American citizen, were killed in Saturday's rescue operation in central Gaza that was carried out by the Israel Defense Forces.

The IDF told ABC News on Sunday it had no knowledge of hostage deaths occurring during Saturday's raid on the Nuseirat refugee camp, in which four hostages were rescued.

In its statement, Hamas' Al-Qassam Brigades accused the Israeli government of being untruthful about the circumstances of the raid.

"In exchange for them, your own army killed three of your own captives in the same attack; one of them holds an American citizenship," the Al-Qassam Brigades statement said. "Time is running out. Your government is lying."

A White House National Security Council spokesperson said Sunday they have "seen nothing to corroborate" the claims that three other hostages, including an American, were killed during the raid.

"We have seen nothing to corroborate these claims. We are of course continuing to assess the claims," the spokesperson told ABC News.

At least 274 people were killed when the Israeli military moved into the Nuseirat camp to rescue hostages, the Hamas-run Gaza Health Ministry said Sunday. Israel's military said no more than 100 civilians were killed in the operation.

-ABC News' Victoria Beaulé, Jordana Miller and Michelle Stoddart