Trump's meeting with Abbas took place a day after the American leader's historic visit to the Western Wall, the first such visit to the holy site by a sitting U.S. president. Trump said while visiting Israel this week that he didn't mention Israel by name in the meeting. Then on 25 May he will proceed to the Nato Summit at Brussels and return to Italy for the G7 meeting at Taormina (26 May - 27 May) and will also visit the US/Nato base at Sigonella.
During a joint press conference with Israeli Prime Minister Benjamin Netanyahu, Trump asserted, "The United States and Israel can declare with one voice ... that Iran must never be allowed to possess a nuclear weapon - never, ever - and must cease its deadly funding, training and equipping of terrorists and militias, and it must cease immediately".
In Bethlehem, Trump said he was "truly hopeful" for an end to the decades-long conflict between Israelis and Palestinians, and added that goodwill from his visit would turn into peace talks.
Notably though, there was an absence of any reference to a two-state solution or any details on how peace could be achieved or what he personally would do to advance it.
That said, there is no doubt that the USA remains the indispensable power in the Middle East, and just about every state in the region relies heavily on the US' political support and protection.
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Abbas stressed that "the problem is not between us and Judaism". The two leaders discussed ways to advance negotiations and considered how Arab states might support those negotiations. "I intend to do everything I can to help achieve that goal".
On the question of challenging Iran's alliances and regional leadership aspirations, Trump and Netanyahu spoke much more harshly than Obama.
"I also firmly believe that if Israel and the Palestinians can make peace, it can begin a process of peace all throughout the Middle East and that will be an incredible accomplishment". In fact, Netanyahu continued, "For the first time in my lifetime, I see a real hope for peace".
At the prime minister's residence Monday evening, Trump praised Netanyahu, elected to his fourth term in 2015, for "working very hard at it".
Indeed, East Jerusalem is in many ways a microcosm of the occupation in general, with large, heavily subsidized and fortified Jewish-only settlements scattered around Palestinian neighborhoods, whose residents are always either protesting their mistreatment or being cracked down upon for protesting their mistreatment too loudly. The militant group Hamas controls the Gaza Strip.
Also, Trump urged Muslim nations to unite against terrorism.