On Tuesday morning, Trump met with Abbas in Bethlehem, traveling across the barrier surrounding the biblical city, which serves as a visual reminder of the complexities of the conflict in the region.
MARTIN: Now, I understand that just the planning for the visit has had some controversy attached to it.
On Monday night in the Gaza Strip, the Palestinian enclave run by Abbas' rivals Hamas, the Islamist movement organized a demonstration to denounce its labeling as a "terrorist" group by many Western governments, including the United States.
President Donald Trump is opening his first visit to Israel Monday, saying he sees growing recognition among Muslim nations that they share a "common cause" with Israel in their determination to counter the threats posed by Iran.
If he could have reached through all those television cameras and punched Barack Obama squarely in the face, he would have done it.
The Palestinians see east Jerusalem as the capital of their future state.
Trump reiterated the US stance against Iran obtaining nuclear weapons.
Donald Trump calls N Korea's Kim Jong-Un 'madman with nuclear weapons'
Duterte arrived in Moscow Monday night for a four-day visit, accompanied by a large Filipino business delegation. The Obama administration's measured criticism of Duterte's murderous war on drugs enraged the Philippine leader.
Netanyahu and his wife, Sara, as well as President Reuven Rivlin and members of the Israeli cabinet, were at Tel Aviv's Ben Gurion airport to greet Trump and first lady Melania in a red-carpet ceremony after what is believed to have been the first direct flight from Riyadh to Israel. Israeli officials are on edge over the U.S refusal to say the Western Wall is part of Israel.
Despite what some Israelis may perceive as discouraging rhetoric from Trump, the new US ambassador to Israel, David Friedman, tells the Israel Hayom newspaper that it is time for "the parties to meet with each other without preconditions and to begin a discussion that would hopefully lead to peace".
President Donald Trump says there's a "lot of love out there" that will help to bring peace between Israelis and Palestinians.
"Making peace...will not be easy, we all know that", Trump said.
He has spoken of reviving long-stalled peace efforts between the Israelis and Palestinians, but few specifics have emerged of how he intends to do so.
There have been no full-fledged peace talks since 2014. "These steps do not change the status of the West Bank territories".
But the reality remains that both sides are stressing different things. Trump realizes that, and so he's not coming here to start peace talks. "We can only get there by working together - there is no other way".
He was not accompanied by any Israeli leaders. What do the Palestinians hope will come out of this visit? "Drive them out", Trump said.
The US welcomed the move, but the Palestinians said they had heard such promises before. Daniel, thank you so much.