Hamas on Friday said it had offered to hand over the bodies of a mother and her two sons -- one of them a baby -- in talks to extend a now-expired truce.

Shiri Bibas, her 10-month-old son Kfir and his four-year-old brother Ariel, along with their father Yarden, have become emblematic of the October 7 attacks due to the age of baby Kfir.

A woman pushes a pram with a placard bearing the portrait of nine-month-old Kfir Bibas at an installation consisting of 241 beds representing the number of hostages taken by Palestinian militants during the October 7 attack.

Earlier this week, Hamas's armed wing announced that Shiri, Kfir and Ariel had been killed in an Israeli bombing before the now-lapsed truce went into effect -- a claim Israel's military has said it is investigating, but has yet to confirm.

Combat between Israel and Hamas resumed in the Gaza Strip Friday morning after an agreement could not be reached on prolonging the seven-day pause in fighting.

Under the terms of the temporary truce, Hamas had returned scores of Israeli hostages in exchange for the release of more than 200 Palestinian prisoners.

"Throughout the night, indirect negotiations unfolded to extend the truce," the Palestinian militant group said in a statement Friday.

"Hamas also offered to transfer the Bibas family's bodies and release their father for their burial, along with two Zionist detainees," it added.

Israeli authorities "remained unresponsive", it said.

The Israeli prime minister's office meanwhile told AFP "Israel will not address propaganda-based reports coming from Hamas".

As of Thursday, reports of the deaths of the three Bibas family members remained unconfirmed, according to army spokesman Daniel Hagari.

The army has previously said "Hamas is wholly responsible for the security of all hostages".

Government spokesman Eylon Levy on Friday blamed Hamas for the collapse of the truce, accusing it of "having failed to provide a list of more hostages for release".

He said Hamas was still holding 137 hostages taken on October 7, including the Bibas family.

The family were among the roughly 240 hostages dragged back to Gaza after militants streamed into Israel in an attack that left 1,200 people dead, most of them civilians, according to Israeli officials.

Israel's ensuing war against the group has killed more than 15,000 people, also mostly civilians, according to the Hamas-run government in Gaza.

Families of American hostages in Gaza describe their anguish and call on US government for help.

The last Omer Neutra's parents heard from him, he told them reassuringly that he anticipated a quiet weekend.

But they checked the news anyway before getting ready for bed in New York, their nightly routine as parents of a soldier in the Israeli military tasked with protecting small villages near the Gaza Strip. What they saw horrified them.

“Of course, everything was wrong. Immediately, we understood that he's right there,” his mother, Orna Neutra, said Wednesday of the brutal Oct. 7 rampage by Hamas that killed more than 1,200 civilians and soldiers and triggered a war in Gaza.

They would later learn that their son, a dual Israeli-U.S. citizen, had been ambushed, pulled out of his tank and taken as a hostage to Gaza, where he is believed to remain more than 50 days later.

The Neutras joined relatives of three other American hostages — including of newly freed 4-year-old Abigail Edan — in calling for the governments of Israel and the United States to do all they can to bring home their loved ones. The group is in Washington to plead their case with journalists, at a legislative hearing on Capitol Hill and in meetings with senior Biden administration officials.

International mediators, meanwhile, made progress Wednesday on extending a truce in Gaza that has facilitated the release of several dozen hostages over the past week. The Israeli military said Wednesday that Hamas had released an additional 16 hostages from captivity in Gaza, the sixth release of Israeli hostages under the cease-fire agreement.

Hamas militants who attacked southern Israel kidnapped some 240 people, including babies, children, women, soldiers, older adults and Thai farm laborers. The initial waves of releases have centered on women and children. Two Russian-Israeli women freed by Hamas entered Israel on Wednesday evening.

“We’re so happy that kids and women are coming out, but it’s also time for men to come out,” said Neutra's father, Ronen Neutra.

Ruby Chen said his 19-year-old son, Itay, who also is a soldier and among the hostages, had sent them a WhatsApp message on the morning of Oct. 7 telling them his base had been attacked. The couple initially thought it was “another episode that we've been accustomed to, where Hamas sends some missiles.” But initial reports out of Israel made clear to them that was not the case.

They lost contact with their son later that morning. They went to the police and were told he'd been categorized as missing in action — he wasn't found in any of the hospitals, and his name wasn't surfacing on the deceased lists.

Later, a pair of Israeli officials knocked on their door and informed them their son had been abducted and was in Gaza. Though the news resolved at least some of their questions, Chen said, “We have no proof of life. We have no indication about his medical status. We know nothing. Fifty-four days. Nothing.”

He added: “It's been a living hell. We live in a different atmosphere, we live in a different universe than what you can understand.”

Also in attendance were relatives of Abigail, whose parents were killed by Hamas militants who stormed the kibbutz where the family lived. The little girl crawled from underneath her slain father and fled for shelter to the neighbors, who were taken captive with her.

The child's plight had drawn significant worldwide attention, with President Joe Biden telling reporters on Sunday: "Thank God she’s home. I wish I were there to hold her.”

“We are now on the other side,” said her great-aunt Liz Hirsh Naftali. “Abigail is home. Not in her home. But she is home in Israel. Because her home is destroyed. They can't return to where they lived. She has no parents to go home to.”

Asked how the child was doing. Hirsh Naftali said, “OK because she has that loving family, because she is going to be supported."

But, she added, “Keep in mind, we will not know for years what the effect is on any of these children or adults that have spent 50, 52, now 54, days in the dark.”

With the prospect of an extended cease-fire, Israeli Prime Minister Benjamin Netanyahu faces pressure to bring home all the remaining hostages, but has also underscored his intention to resume the military campaign against Hamas at the conclusion of the truce.

Israel’s bombing campaign and ground invasion in Gaza have killed more than 13,300 Palestinians, roughly two-thirds of them women and minors, according to the Health Ministry in Hamas-ruled Gaza, which does not differentiate between civilians and combatants.

The toll is likely much higher, as officials have only sporadically updated the count since Nov. 11 due to the breakdown of services in the north. The ministry says thousands more people are missing and feared dead under the rubble.

The families on Wednesday repeatedly deflected questions about the broader military conflict, with Noa Naftali, another relative of Abigail, insisting that the families' sole priority was to get their loved ones home “as soon as possible at whatever cost necessary."