Israeli Prime Minister Benjamin Netanyahu met for five hours on Monday with Jason Greenblatt, a lawyer who was appointed chief negotiator for worldwide affairs by President Donald Trump.
The Israeli statement added that "Greenblatt stressed how important enabling the growth of the Palestinian economy and improving the quality of life for Palestinians are to President Trump". During their meeting, which lasted for over five hours, the two discussed options towards a solution for the Israeli-Palestinian conflict and settlement building.
Abbas said in the statement that he told Greenblatt "he believes that under President Trump's leadership a historic peace deal is possible, and that it will enhance security throughout the region". At that meeting, Trump broke with decades of US policy by saying he was not bound to a two-state solution to the conflict and would be open to one state if it meant peace.
Settlement construction was also discussed, but no details have come out on an expected agreement to allow some building in East Jerusalem and the West Bank.
Greenblatt also met with a number of other Palestinian groups on Tuesday, including a group of entrepreneurs, students in Bethlehem, PA security officials, and residents of refugee camp north of Ramallah.
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Trump spoke to Abbas on the telephone on Friday and invited him to the White House, in the first phone call between the two leaders since Trump took office. "I can live with either one", he said in a joint press conference last month with Israeli Prime Minister Benjamin Netanyahu.
Settlement activity has been on the rise since Trump was sworn in January - thousands more have been approved in three separate plans.
"Netanyahu stuck to his promise to establish the new settlement", the senior official said. Greenblatt pledged to aid both sides in reaching an agreement through direct negotiations.
"The US administration has made various statements on the peace issue, and one can understand the president is taking a businesslike approach to the problem, as opposed to a diplomatic approach, " said Michael Oren, an Israeli member of parliament and a former Israeli ambassador to the United States.