Israeli Prime Minister Benjamin Netanyahu and his advisers met for a second time with U.S. special envoy to the Middle East Steve Witkoff on Sunday afternoon to discuss President Donald Trump’s 21-point Gaza ceasefire proposal, two sources familiar with the matter told ABC News.

The hours-long meeting -- the second in as many days -- comes ahead of Netanyahu’s scheduled sit-down with Trump at the White House on Monday. Netanyahu is in the U.S. after speaking at the UN General Assembly on Friday.

Asked about Trump’s ceasefire plan on Fox News Sunday, Netanyahu said, “We’re working with President Trump’s team,” but added, “It’s not been finalized yet.”

He also revealed for the first time how seriously he is weighing the proposal, saying, “I hope we can make it a go.”

Hamas leaders in Qatar are expected to receive the Trump proposal sometime on Monday.

-ABC News' Jordana Miller

Ahead of hosting Israeli Prime Minister Benjamin Netanyahu at the White House on Monday, President Donald Trump posted to social media teasing successful negotiations among "all" parties in the Middle East -- claiming "something special" is on the horizon for "greatness" in the region.

"We have a real chance for GREATNESS IN THE MIDDLE EAST. ALL ARE ON BOARD FOR SOMETHING SPECIAL, FIRST TIME EVER. WE WILL GET IT DONE," Trump wrote on social media. It was not immediately clear which countries or leaders Trump was referring to.

The post comes days after Trump reported "inspired and productive" discussions regarding a possible ceasefire deal in the Gaza Strip.

-ABC News' Isabella Murray

The Hamas-run Gaza Health Ministry said Sunday that 79 people were killed and 379 people injured over the past 24 hours as Israeli forces continued their military operation in the strip.

Among the dead were two bodies recovered from under rubble, with officials warning that more victims remain trapped in places that rescue crews cannot reach.

The ministry put the cumulative toll since Israel's campaign began on Oct. 7, 2023, at 66,005 dead and 168,162 wounded.

At least 13,137 people have been killed and 56,121 have been injured since Israel broke the last ceasefire on March 18, the ministry said.

Among those killed over the previous 24 hours were six people killed seeking food aid, with another 66 people injured while doing the same. The ministry said the overall toll of what it called "livelihood seekers" killed has now reached 2,566, with more than 18,769 wounded.

In a separate statement, the ministry said that some hospitals and clinics in Gaza City remain partially functional, despite bombardment and severe shortages of medicine and supplies.

The ministry credited the "exceptional efforts" of doctors and staff working under what it called "extreme danger."

The ministry appealed to the UN and the international community to provide protection for medical facilities and ensure urgent deliveries of essential supplies so they can continue operating.

-ABC News' Samy Zyara and Dada Jovanovic

Hamas released a statement on Sunday denying that it had received "any new proposals" for a ceasefire in the Gaza Strip, after U.S. President Donald Trump said that "intense negotiations were ongoing."

Trump said in a social media post on Friday, "All of the Countries within the Region are involved, Hamas is very much aware of these discussions, and Israel has been informed at all levels, including Prime Minister Bibi Netanyahu."

But Hamas said in its Sunday statement that it had received nothing new from the mediating parties.

Hamas said that negotiations "have been suspended since the failed assassination attempt" against top Hamas officials in Doha, referring to the Israeli strike in the Qatari capital on Sept. 9.

"Hamas reiterates its readiness to consider any proposals that may be presented by the mediators with full positivity and responsibility, in a manner that safeguards the national rights of our people," the statement said.

-ABC News' Rashid Haddou