"I am truly hopeful that America can help Israel and the Palestinians forge peace and bring new hope to the region and its people", Trump said during a joint appearance with Abbas.
Washington announced a $110-billion USA sale of ships, tanks and the latest anti-missile systems to Saudi Arabia on Saturday as Trump began a two-day visit to the Gulf state before travelling on to Israel. "I look forward to working with these leaders toward a lasting peace", the United States president said.
Ending his speech, Abbas stated: "Mr. President, we hope that history will say that Donald Trump was the US President who achieved peace between Palestinians and Israelis".
Israel and Saudi Arabia have no official relations but both have expressed serious concerns over Iran's nuclear ambitions. "We just got back from Saudi Arabia", Trump said in the video while hesitantly looking at Secretary of State Rex Tillerson.
"We applaud President Trump's historic declaration of support for Israel, for her security and for her right to exist as the free and sovereign nation of the Jewish people in their ancient homeland", the Republican Jewish Coalition (RJC) said in a statement.
In Israel the overall tenor of Trump's trip - which included a visit to the Yad Vashem Holocaust memorial on Tuesday - and the warmth exhibited between the president and Netanyahu contrasted sharply with the Israeli prime minister's tense relationship with Obama.More news: Merkel says can develop India ties and keep up U.S. relationship
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Yedioth gives less prominence to Trump, with one minor story on the United States president's stop in Rome to meet Pope Francis.
Here's a list of the most tweetable faux pas from Trump's Israel visit.
Trump ended his nine-day trip with a speech to USA troops in Sicily, where he recounted his visits to Saudi Arabia, Israel, Belgium and Italy and his work to counter terrorism.
Current U.S. law does not officially recognize Israeli control over the eastern sections of the city, going so far as to prevent American citizens born in Jerusalem from listing "Israel" as their country of birth. Speaking on Israeli television, Yuval Steineitz, Minister of National Infrastructure, Energy and Water Resources, praised Trump's promises but added soberly, "We will have to sit with the Americans to ensure that in any eventuality, Israel will maintain its military superiority".
"It was the most savage crime against God and his children", said Trump, who is visiting Israel and the Palestinian Territories on the second leg of his first foreign trip since taking office in January.
Trump added that the State of Israel was a "strong and soaring monument to the solemn pledge we repeat and affirm "Never again". "And we are keen to keep the door open to dialogue with our Israeli neighbors from all walks of life in order to boost confidence and create a genuine peace opportunity", the Palestinian president told his American counterpart.
The Palestinian press was equally skeptical, especially about Netanyahu's comments to Trump that "Israel also shares the commitment to peace that you expressed".