Israel bombed targets in Gaza on Tuesday as mediators in Cairo sought progress towards a truce and hostage deal and Prime Minister Benjamin Netanyahu insisted Israeli troops would launch a ground invasion of Rafah.
US Secretary of State Antony Blinken said he had no indication of an "imminent" Israeli assault on the city, the last in the Gaza Strip yet to be the target of a ground invasion and where around 1.5 million displaced Palestinians are sheltering.
Under the latest ceasefire proposal, fighting would stop for six weeks, about 40 women and child hostages in Gaza would be exchanged for hundreds of Palestinian prisoners held by Israel, and up to 500 aid trucks would enter Gaza per day, a Hamas source has said.
While mediator Qatar awaits Hamas's latest response, US National Security Advisor Jake Sullivan said some public remarks from the Palestinian group had been "less than encouraging".
Hamas had said earlier it "appreciates" the efforts from mediators Qatar, Egypt and the United States, but accused Israel of failing to respond to its demands including a full withdrawal of forces from Gaza.
Israel has carried out an indiscriminate bombardment of the Gaza Strip since October 7, killing 33,360Palestinians as of Tuesday. Israel has been accused of carrying out a genocide and war crimes against Palestinians in the enclave, where a famine is looming amid a severe lack of basic necessities.
Despite growing pressure from top ally the United States, Netanyahu stressed Israel would pursue the twin goals of bringing home "all our hostages" and "destroying Hamas".
In a video message released on Monday, the premier said Israeli forces would storm Gaza's far-southern city of Rafah on the Egyptian border, despite global concern for the fate of Palestinians sheltering there, amid dire conditions.
"It will happen - there is a date," he vowed without saying when he plans to send troops into the city.
Netanyahu reiterated that message on Tuesday during a visit to a military base, saying: "No force in the world will stop us."
US officials renewed their objections to such an operation, following a phone call last week between President Joe Biden and Netanyahu.
"A full-scale military invasion of Rafah would have an enormously harmful effect" on civilians trapped there and "would ultimately hurt Israel's security", said State Department spokesman Matthew Miller.
Blinken said on Tuesday that Israel had not shared with Washington "any date for an operation" in Rafah.
He said he did not expect Israel to launch an invasion before new talks due next week in Washington, adding, "for that matter, I don't see anything imminent".
Israel has invited tenders for 40,000 large tents, according to a document on the defence ministry website - part of its preparations to evacuate Rafah ahead of an offensive, a government source told AFP on condition of anonymity.
The carnage left by the bloodiest ever Gaza war was on display in the southern city of Khan Younis, a wasteland of shattered buildings and mountains of rubble after months of heavy bombardment and street fighting.
Displaced Palestinians began to return after Israeli forces pulled out on Sunday in what the army said was a tactical and temporary withdrawal.
As Palestinians readied for Wednesday's Eid al-Fitr holiday marking the end of the fasting month of Ramadan, they were stunned at the apocalyptic sight of hundreds of gutted or collapsed buildings.
Mohammed Saggah, a returning resident said: "This house, my home, was a five-storey building and was home to more than 80 people. There is nothing left."
One woman said she had come back to find "a ruined place - no water, no electricity, no columns, no walls and no doors, there's nothing. Gaza is not Gaza anymore."
The army claimed on Tuesday it had destroyed "terrorist infrastructure" across Gaza, and killed a militant accused of involvement in the October 7 attack, in a strike on Khan Younis.
In central Gaza, "troops eliminated a number of terrorists in close-quarter combat," the military said, also reporting the killing of "several additional terrorists" in air strikes and sniper fire.
While the war has destroyed swathes of the Gaza Strip, levelling entire city blocks and devastating the territory's largest hospital, an Israeli siege has pushed many of its 2.4 million people to the brink of famine.
Israel, under US and international pressure to step up aid deliveries, said it had allowed in 468 aid trucks into the Gaza Strip on Tuesday, describing it as a daily record since the start of the war.
That is still below the levels the UN says entered the Gaza Strip before the war devastated the territory and its economy.
Israeli officials have blamed aid agencies for not distributing the aid, but those agencies have hit back blaming Israeli restrictions.
Jens Laerke, a spokesman for the United Nations' humanitarian agency OCHA, called the figures provided by Israel on aid distribution "meaningless".
Screening rules, delays at crossings, restrictions on drivers and, most significantly, getting authorisation and assurances from the military that distribution can go ahead unimpeded combined to prevent aid distribution, he said.
Laerke also said food aid was three times more likely to be blocked by Israel than any other kind of aid.
Israel has faced a chorus of global calls to halt the fighting and ease the suffering.
After announcing Israeli authorities had refused a request to join aid airdrops over Gaza, Turkey said it would impose trade restrictions on Israel, covering cement and steel, sparking an Israeli vow to take retaliatory steps.