Both sides agreed to continue with the USA -led conversations as the best way to reach a peace deal, the State Department statement said.
The U.S., however, has described the trip as productive.
But just days earlier, the Palestinian Authority (PA) had said that, behind closed doors, it would also give Kushner a firm ultimatum - deliver Israeli concessions within 45 days, or we "blow up" your peace process. Kushner heard out the Palestinian leader's demands and postponed any responses for the next meeting they have.
White House senior adviser Jared Kushner is part of a delegation that traveled to the Middle East for peace talks, the Trump administration said Tuesday.
"Today we understood more than ever that President Trump is indeed engaged [in the diplomatic process], he knows what his team is working on and what they are talking about, and he also found time despite the mess he is in to convey messages to Abbas", an unnamed Palestinian source told Al-Monitor.
For weeks Palestinian officials have called on the United States to back a two-state solution and ask Israel to stop building settlements in the occupied West Bank, which most of the worldwide community considers illegal and an obstacle to the creation of any future Palestinian state.
"If the United States team doesn't bring answers to our questions this time, we are going to look into our options because the status quo is not working for our interests", Ahmad Majdalani, an aide to Palestinian President Mahmoud Abbas, told The Associated Press.
Aloul criticized Kushner's delegation, stating, "Judging from the latest meetings, the delegates didn't bring anything new with them and didn't present any initiative".
"We have told the Americans that we are committed to the American effort،" Khatib said.
Accompanied by a high-level American delegation, Kushner on Thursday reiterated Trump's commitment to finding a lasting solution to the Israeli-Palestinian conflict, which the President has referred to as "the ultimate deal", reports CNN. "We've also told the Americans that we want clarity on their approach". "So we leave it up to them to be able to work that through".
More so, Abbas said that Israeli transgressions must come to an end.
"Without a vision it will be negotiations for negotiations sake", Khatib said.