The remains of four hostages are still in Gaza after Palestinian militants released the remains of another on Sunday.
The first stage of the ceasefire agreement that took effect on October 10 is nearing its end.
The next stage calls for the implementation of a governing body for Gaza and the deployment of an international stabilisation force.
It is not clear where either stands.
Israel ended the previous ceasefire agreement earlier this year after a period of exchanging hostages for Palestinian prisoners.
At the time, mediators were unable to bring Hamas and Israel to the table to negotiate a troop withdrawal and a plan for the future governance of Gaza.
For each Israeli hostage returned, Israel has been releasing the remains of 15 Palestinians — an exchange central to the ceasefire's first phase.
The Gaza Health Ministry said the total number of remains received is now 315.
Only 91 have been identified, the ministry said.
Forensic work is complicated by a lack of DNA testing kits in Gaza.
The ministry posts photos of the remains online in the hope that families will recognise them.
One mother waited at Nasser Hospital in the southern city of Khan Younis, wondering whether her missing 15-year-old son was among the new remains returned.
He disappeared while on the way to school on October 7, 2023, when Hamas launched an attack on Israel that started the war.
"Rayyan has been missing for two years. I don't know his fate, whether he's still alive or dead," Shaima Abu Ouda said.
She said he vanished near the wall separating Gaza and southern Israel.
On Sunday, Israel confirmed it had received the remains of Hadar Goldin, a soldier killed in the Gaza Strip in 2014, closing a painful chapter for the country.
The 23-year-old was killed two hours after a ceasefire took effect in that year's war between Israel and Hamas.
His remains had been the only ones left in Gaza predating the current war between Israel and Hamas. A funeral was scheduled for Tuesday.
Around 1200 people, mostly civilians, were killed in the 2023 Hamas-led attack on Israel, and 251 people were kidnapped.
On Saturday, Gaza's Health Ministry said the number of Palestinians killed in Gaza has risen to 69,176.
Kushner was also helping to lead negotiations to secure safe passage for 150-200 trapped Hamas militants in exchange for surrendering their weapons after the release of Goldin's remains, according to someone close to the negotiations who spoke on condition of anonymity.
Hamas has made no comment on a possible exchange for its fighters stuck in the so-called yellow zone of territory controlled by Israeli forces, though it has acknowledged that clashes were taking place there.
Palestinians in the Israeli-occupied West Bank village of Umm al-Khair, which was featured in the Oscar-winning documentary No Other Land, were bracing Monday for the arrival of Israeli military bulldozers.
The documentary chronicles villagers' attempts to survive state-backed demolitions and rampant violence from Israeli settlers.
Residents say Israel has ordered the demolition of 14 structures, including the community centre, greenhouse and family homes.
A statement from the community said the demolitions could begin Tuesday.
Israel says the structures were built illegally.
Residents, determined to stay on their land, say it is impossible to secure permits to build in the West Bank, leaving them little choice but to rebuild their homes following demolitions.
The village was founded in the 1950s by traditionally nomadic people, known as Bedouin, who settled there after being uprooted from the Negev desert during the 1948 war surrounding Israel's creation.