Abbas said that he's hopeful for bringing about peace with Israel "based on the vision of two states", with the borders of 1967. Both leaders agreed that while the United States can support progress toward a peace deal, a solution cannot be imposed on the Israelis and Palestinians by any party, including by one side on the other.
But there can not be lasting peace unless the Palestinian leaders speak in a unified voice against incitement to violate - and violence and hate.
President Trump is mistaken if he believes Abbas is genuinely interested in finding peace.
But under pressure at home to avoid major concessions, the 82-year-old leader said: "It's about time for Israel to end its occupation", referring to Jewish settlement building in the West Bank.
Donald Trump hosted Mahmud Abbas in the White House for the conversation about a Middle East peace agreement.
Trump's promise to move the U.S. Embassy to Jerusalem from Tel Aviv, strongly opposed by Palestinians, has been shifted to the back burner, and he has asked Netanyahu to put unspecified limits on settlement activity.
Alongside the tweet was a two-minute video that showed Trump meeting Abbas, the president speaking alongside Secretary of State Rex Tillerson about the peace process and shaking hands with the Palestinian leader.
Trump, appearing with Abbas at the White House, told reporters about the peace deal, "We will get this done".
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He did encourage Mr. Abbas to do more to discourage Palestinian incitement against Israelis.
Trump expressed his appreciation for Abbas' unambiguous support for a negotiated settlement of the conflict..
It said Palestinian hospitals in East Jerusalem may shut down if the Palestinian Authority does not pay overdue debt owed to the hospitals for patients transferred there for treatment.
On Thursday, Netanyahu said he looks forward to discussing with Trump the "best ways to advance peace".
Planning is under way for a possible visit by Trump to Israel near the end of May.
"I believe that we are capable under your leadership and your stewardship - your courageous stewardship and your wisdom, as well as your great negotiating ability - that we can be partners, true partners, to you to bring about a historic peace treaty", Abbas said. He told the radio station that the Palestinian prisoners were victims of Israel's control over the West Bank. I have no idea if Trump was getting a simultaneous translation when Abbas was talking, but watch his body language. The symbolic relocation would essentially recognize Jerusalem as Israel's capital.
Abbas is hamstrung by the fact that his Palestinian Authority does not control all Palestinian territory, since the militant Hamas movement seized control in the Gaza Strip in 2007.