It remains unclear how the Trump administration would proceed with a peace plan without Palestinian cooperation.
On Wednesday, he will meet with Palestinian Authority President Mahmoud Abbas in Ramallah, in the West Bank.
Kushner said the Palestinian leadership is "scared" that the Palestinian public may approve of the USA peace initiative and called on Palestinians to not "let your leadership reject a plan they haven't even seen".
Kushner and Greenblatt's trip to Jerusalem followed a regional tour that included Jordan, Egypt and Qatar.
It also said Gazans wounded by Israel are being transferred to hospitals in Cairo.
Al-Ayyam reported as well on the U.S. moves and said, based on Israeli media reports, that the deal of the century assumes keeping all the holy places in Jerusalem in Israeli hands, no removal of settlements while the capital of Palestine will be in Abu Dis, an East Jerusalem neighborhood located beyond theIsraeli apartheid wall.
Sources close to Abbas have apparently revealed that Saudi Arabia and Jordan are among those which have given the green light to talks with the U.S. administration about the deal, which it is said will end the Israeli-Palestinian conflict.
In a statement, Ashraf al-Qidra, spokesman for Palestinian Health Ministry, said 44 of the injured people received bullet wounds.
The agency is "weeks away from painful cuts to its emergency assistance for Gaza and elsewhere in the region", UN envoy Nickolay Mladenov said at a UN Security Council meeting this week.
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Al-Hayat al-Jadida quoted Fatah describing the U.S. deal as "a conspiracy" that is being pushed under a humanitarian guise, but said it will not pass.
Kushner also made remarks critical of Abbas.
Kushner insisted that the peace plan was "almost done", but he offered few details except the vague promise of economic prosperity for the Palestinians. But he added: "I question President Abbas' ability, or desire, to finish the deal".
In its talks with regional leaders, the Trump administration most of all is attempting to scale back expectations of the "ultimate deal" that Trump a year ago said he hoped he could do to resolve the long-running crisis. "A peace hasn't been achieved during that period", he said.
Israel said Thursday it has evidence the family of a baby who died near the Gaza border was paid by Hamas to accuse Israel's army over her death, an account the family rejected.
He said Gazans were "hostages to a bad leadership" which was unable to engage with the global community. Britain's Prince William has kicked off a politically delicate five-day tour of Jordan, Israel and the Palestinian territories.
"The narrative of victimhood may feel good for the moment and help you grab headlines but it doesn't do anything to improve lives".
Palestinian leaders have blasted the Trump negotiating team in recent days. "We have said from the beginning that there is no path to peace without finding a solution for Gaza". Jerusalem is an emotional issue at the epicenter of the Israeli-Palestinian conflict.
"To make a deal both sides will have to take a leap and meet somewhere between their stated positions".