By Nidal al-Mughrabi and Daphne Psaledakis

CAIRO (Reuters) -U.S. Secretary of State Antony Blinken arrived in the Middle East on Monday hoping to deliver the ceasefire that President Joe Biden proposed last month, in an all-out push by Washington to secure an end to the Gaza war.

Speaking after meeting Egypt’s President Abdel Fattah al-Sisi in Cairo on the first stop on his trip, Blinken said Hamas was the only side that had yet to agree to Biden’s ceasefire proposal, which Washington says Israel has already accepted.

“My message to governments throughout the region, to people throughout the region, is if you want a ceasefire, press Hamas to say yes,” Blinken told reporters before departing Egypt to visit Israel where he was due to meet Prime Minister Benjamin Netanyahu.

Sisi said it was important to lift obstacles to humanitarian aid for Gazans.

Ahead of his trip, Israel and Hamas both doubled down on hardline positions that have scuppered all previous attempts to end the fighting, while Israel has pressed on with assaults in central and southern Gaza, among the bloodiest of the war.

“We are committed to total victory,” Netanyahu said in a statement released by his office, quoting remarks he made on Sunday to relatives of Israelis killed in Gaza.

“What is the main dispute? It is over Hamas’ demand … that we commit to stopping the war without achieving our goals of eliminating Hamas…. I am not prepared to do so.”

Hamas, for its part, said Washington must push its ally Israel to halt the fighting.

“We call upon the U.S. administration to put pressure on the occupation to stop the war on Gaza, and the Hamas movement is ready to deal positively with any initiative that secures an end to the war,” senior Hamas official Sami Abu Zuhri told Reuters.

The war has now entered its ninth month, since Hamas-led fighters killed 1,200 people and took some 250 others hostage in a rampage through southern Israel. In response, Israel launched an assault on the Gaza Strip that has killed more than 37,000 Palestinians and reduced most of the enclave to wasteland.

Palestinian officials said 40 more bodies arrived in hospitals over the past 24 hours. Thousands more dead are believed buried under rubble.

ASSAULTS IN RAFAH, NUSEIRAT

In Rafah, the city on the southern edge of Gaza where Israel launched an offensive last month in defiance of White House pleas, residents said on Monday tanks had been trying to thrust deeper towards the north in the early hours of the morning. They were on the edge of Shaboura, one of the most densely populated neighborhoods at the heart of the city.

Around half of the Gaza Strip’s 2.3 million people had been sheltering in Rafah before last month’s assault, and a million have had to flee again.

Since last week, Israel has also launched a large assault in the central Gaza Strip, around the small city of Deir al-Balah, the last population centre yet to be stormed. On Monday, residents said the Israelis had pulled back from some areas there but were keeping up air strikes and shelling.

Residents in Nuseirat north of Deir al-Balah were still clearing debris after Israel freed four hostages in a massive raid there on Saturday. Palestinian officials say 274 people were killed, making it of the deadliest assaults of the war. Israeli forces said they were aware of under 100 Palestinians killed there and did not know how many were combatants.

“We are exhausted and helpless, enough is enough,” said Jehad, who fled under fire from Saturday’s assault in Nuseirat with his family and was now in Deir al-Balah, speaking by text message. The family had already been displaced from Gaza City to Nuseirat, to Khan Younis, to Rafah and back to Nuseirat before their latest flight.

In video obtained by Reuters from Nuseirat, resident Anas Alyan, standing outside the ruins of his home, described how Israel commandos wearing shorts had appeared in the streets, firing wildly while F-16s and quadcopters fired from the air.

“Anyone moving in the street was killed – anyone moving, or walking, was killed immediately,” he said. “There are still children under this building. We don’t know how to pull them out,” he said, pointing to one ruin. “Today we found children martyred in that building,” he said, pointing to another.

After months of failed peace efforts, Biden chose a new tack with his public announcement of his proposal for a ceasefire on May 31, describing it as an offer already accepted by Israel. U.S. officials say Biden deliberately unveiled it without asking the Israelis first, to increase pressure for a deal.

Washington is now seeking a vote backing the ceasefire proposal at the U.N. Security Council.

Full details of the proposal have not been publicly disclosed, but the offer as described by U.S. officials is similar to texts floated since January in previous failed peace efforts: a long truce, over several stages, with gradual release of Israeli hostages ultimately leading to an end to the war.

What is different this time is that Israeli forces have now stormed most territory inside Gaza at least once, and Netanyahu is under greater domestic political pressure to reach a deal. Fighting has also escalated sharply in northern Israel along the Lebanese border, raising the threat of an all-out war between Israel and Lebanon’s Hezbollah armed group.

Benny Gantz, a popular centrist former military chief, quit Israel’s war cabinet on Sunday over what he described as the failure to outline a plan for the war’s end. That leaves Netanyahu more reliant on far right allies who say they will bring down his government if he agrees any deal that leaves Hamas in power.

(Reporting by Nidal al-Mughrabi and Daphne Psaledakis in CairoAdditional reporting by Dan Williams in JerusalemWriting by Nidal al-Mughrabi and Peter Graff; Editing by Toby Chopra, William Maclean)