The Hamas delegation has left Cairo⁩ and will return again with a written response to Israel’s proposal for a truce and hostage-release deal, a senior Egyptian government official told ABC News.

-ABC News' Ayat Al-Tawy

The White House was careful not to get into specifics on the "extraordinarily generous" cease-fire proposal Secretary of State Antony Blinken spoke to earlier this morning, refusing to give specifics as they continued to call on Hamas to accept the proposal.

"I'm not going to characterize the proposal. I'm not going to get into any of the specifics. What we believe is that now is the time for Hamas to take this deal. It is on the table. It is time to, it is way past time to get these hostages home. It is way past time to get to a ceasefire and we need to make sure we continue to get that humanitarian aid," White House press secretary Karine Jean-Pierre said.

Jean-Pierre noted that Israel "has a lot on their plate," but expressed a desire for an in-person meeting to take place, in addition to the two virtual meetings the U.S. and Israel have had in recent weeks.

"We would like to have an in-person meeting. That is certainly what we would like to do, but in the meantime, we’ve had two important virtual meetings and in the readout, yesterday, we mentioned that the potential Rafah operations did come up between the two leaders in their conversation," she said.

Egyptian President Abdel Fattah El-Sisi also spoke to President Joe Biden Monday about ongoing Gaza talks and Egyptian efforts to reach a cease-fire and hostage deal in a phone call, the Egyptian presidency said in a statement.

The call discussed the risks of an Israeli incursion into Rafah, including the "catastrophic" impact on the worsening humanitarian crisis, and implications for the security and stability of the region, the statement added.

-ABC News' Molly Nagle and Ayat Al-Tawy

Israeli leaders are expressing concern over possible arrest warrants issued by the International Criminal Court against key officials, including Prime Minister Benjamin Netanyahu, an Israeli official, who spoke under condition of anonymity, told ABC News.

It is believed that such potential warrants might be related to charges on the scope of humanitarian aid Israel allowed into Gaza, according to the official.

The ICC can charge individuals with war crimes, crimes against humanity and genocide under its powers.

-ABC News' Dana Savir

At least 21 people were killed in Gaza after an Israeli airstrike Monday, the Al Kuwaiti Hospital in Rafah told ABC News. Six people were injured from the strike, the hospital added.

The updated death toll in Gaza is 34,488 killed and 77,643 injured, according to the Hamas-run Gaza Ministry of Health.

ABC News has reached out to the Israeli army for comment on the strike.

-ABC News' Dia Ostaz

The U.S. will put $200 million toward addressing acute hunger in conflict zones around the world, including Gaza, USAID Administrator Samantha Power announced Friday.

The money will go toward maximizing the procurement, production and distribution of Ready-to-Use Therapeutic Food (RUTF), a nutrient-filled, peanut-based paste that is particularly useful for addressing malnutrition in children under 5 years old, in places like Gaza, Sudan and Haiti, a USAID official told ABC News.

In Gaza, USAID partners are already distributing RUTF, and the agency plans to ship additional RUTF supplies into the enclave from Kenya via the maritime corridor soon, the official added.

Humanitarian groups and the United Nations have warned for weeks about the threat of a full-fledged famine in Gaza as the conflict continues.

-ABC News' Shannon Crawford