On Thursday, they will meet separately with Israeli Prime Minister Benjamin Netanyahu and Palestinian Authority President Mahmoud Abbas.
"President Abbas reaffirmed Palestinian positions, especially the principle of the two-state solution within the 1967 borders and the cessation of all settlement activities, stressing the relevant resolutions of worldwide legitimacy, the signed understandings, the road map plan and the Arab peace initiative", Abu Rudeina said.
Abbas on the other hand wanted Kushner and his peace delegation, which includes Dina Powell and Jason Greenblatt, to commit to 1967 borders for a two-state solution.
US officials have said that they have not ruled out a two-state solution but that it is up to the two sides, not them, to agree on a way forward.
White House senior advisor Jared Kushner in Jerusalem, May 22, 2017.
However, the White House is yet to lay out a framework for negotiations following multiple meetings with Israeli and Palestinian leaders.
Trump aides have held a series of meetings with both sides, portraying them as hearing out concerns before deciding on a way forward, while the United States president himself visited Israel and the Palestinian territories in May.
Disney Using Augmented Reality to Sell New 'Star Wars' Merchandise
That means you can take a photo or video standing alongside the likes of Admiral Ackbar (as demonstrated in the video above). Star Wars merchandise is a big deal in the retail world, especially when it coincides with a new film in the main saga.
However, Abbas stressed that negotiations should be based on the framework of a two-state solution and for illegal settlements to cease.
The two-state solution envisions an independent Palestinian state alongside Israel and has been the focus of global diplomacy for years.
Signalling their frustration, some Palestinian leaders have spoken of taking a harder line in recent days.
According to a report in the Al-Hayat newspaper, no significant progress was made during the Thursday Abbas-Kushner meeting.
That would in theory leave Israel with the responsibility of governing and providing services to Palestinian cities in the occupied West Bank. The American delegates come to hear the Israeli side. "We aren't deluding ourselves; there can be no advancement in the peace process with the right-wing Israeli government under the leadership of Netanyahu".
He is also facing a graft investigation that limits his room for political manoeuvre, Shapiro noted.
Abbas, who according to the report demanded that the United States explicitly state that the objective of the negotiations is to reach a two-state solution along the 1967 lines, also asked the delegation to ensure economic freedom for the Palestinian Authority in Area C, which includes 60 percent of the total Palestinian territory.