Tamara Keith, NPR News, traveling with the president. "Palestinians in Bethlehem say they feel like they're living in a ghetto with it".
"We are ready to open dialogue with our Israeli neighbours to build confidence and create a real opportunity for peace", he said after talks with Trump.
The White House pointed out that Trump underscored the United States' ironclad commitment to Israel's security, including to the maintenance of Israel's qualitative military edge.
Mr. Abbas reiterated to Mr. Trump "our commitment to cooperate with you in order to make peace and forge a historic peace deal" and to become partners with the US against terrorism. But he offered no blueprint for movement toward reviving negotiations.
On Palestinians' view on Trump's visit to the Western Wall, Pollock said they don't like it but accept it. He declined to reiterate stated US -policy on a two-state construct for resolving the Israeli-Palestinian dispute, nor did he repeat his earlier calls to Prime Minister Benjamin Netanyahu to slow Israeli settlement building in disputed areas of the West Bank.
The Palestinian leader raised numerous familiar grievances and demands for a peace deal with Israel, including a Palestinian capital in East Jerusalem and an end to what the Palestinians view as the illegal "occupation" of the West Bank.
He tried to contrast his approach with that of former President Barack Obama, despite substantially strengthened security ties under the Obama administration. Israel strongly denies this claim.
Yet some Israeli officials are less certain of Trump.
After mentioning threats to Israel from Hezbollah, Hamas and Iran, he said, "not with Donald J Trump", drawing enthusiastic applause.
"This is what I've spent the last few days talking about during my trip overseas", Trump said.More news: These Eighth Graders Refused to Pose For a Photo With Paul Ryan
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He cited Trump's declaration that Iran will "never, ever be able to develop nuclear weapons" as one of the "right things" he's done.
His speech came after he met Palestinian President Mahmoud Abbas in Bethlehem in the occupied West Bank earlier in the day.
Both sides are wary of being accused of resisting Trump's peace efforts or being cast as obstructing the resumption of talks.
During Trump's press conference with Abbas in Bethlehem, the PA leader reiterated the long-held Palestinian position that peace with Israel is conditioned on the creation of a Palestinian state within the pre-1967 lines, with its capital in eastern Jerusalem.
It is fine to want Israel to have peace, but what about the Palestinians?
After Israel and the Palestinian territories, Mr Trump will head to the Vatican, and to Brussels and Italy for North Atlantic Treaty Organisation and G-7 meetings.
But there was little public evidence of prodding by Trump or his aides of either side to make more substantial concessions.
Trump and the convoy passed through the 26-foot-tall concrete wall with watch towers that is Israel's separation barrier, and past "Checkpoint 300", where thousands of Palestinian workers cross into Israel each morning to reach their jobs on Israeli construction sites. "Peace can never take root in an environment where violence is tolerated, funded and even rewarded", he said.
Trump met Monday in Israel with Prime Minister Benjamin Netanyahu, after spending the weekend with Muslim and Arab leaders in Saudi Arabia. Netanyahu effusively praised Trump before his museum address and sprang to his feet to lead applause for him several times.
David Pollock, a senior fellow at the Washington Institute for Near East Policy, echoed sentiments that Trump's visit to the wall is highly significant.