On the other hand, Reuters reported, Trump has complained that Russian Federation is not doing all he says it should to pressure North Korea to lay down its nuclear arms through stringent economic sanctions.
"Russia is not helping us at all with North Korea", Trump told Reuters. But it sounds like Trump wants Putin to be his back channel to the Palestinians who unsurprisingly no longer consider the U.S.an "honest broker" in its relationship with Israel.
One of the primary issues is the continued Israeli push to build settlements on Palestinian territory.
"The situation in the region is far from the one that we would like to see", he said, adding that Russian Federation has always supported the Palestinian people.
Abbas has refused any contact with Trump's administration since Washington's decision at the end of past year.
"Given the atmosphere created by the United States' actions, we.refuse any cooperation with the United States as a mediator", Abbas said.
"We understand very well worries in many governments throughout the region regarding what they see, what they don't see".
The White House says it is on work on a peace plan, but has yet to publish any details.
"By taking Jerusalem off the table I wanted to make it clear that Jerusalem is the capital of Israel and as for specific boundaries, I would support what both sides agreed to", Trump told newspaper Israel Hayom on Sunday.
Israel-Palestine discussions have been further strained recently after Israel shot down what it said was an Iranian drone that had entered its territory from Syria over the weekend.
Trump also offered his Russian counterpart condolences for the fatal crash of a Russian passenger plane at the weekend, Russian news agencies cited the Kremlin as saying.
"In case of an global meeting, we ask that the United States be not the only mediator, but just one of the mediators".
Apparently Putin and Trump spoke by phone just today.
The pair also discussed Middle East peace, ahead of Putin's meeting with Palestinian leader Mahmud Abbas.
Breaking with years of USA policy, Trump announced the move on December 6, drawing global condemnation and sparking a wave of heated protests around the world.
The White House denied Netanyahu's claims, in a rare public show of disunity.
The Palestinian leadership in the occupied West Bank, however, see East Jerusalem as the capital of a future Palestinian state. He said last week that he hoped Russian Federation could assume a greater role in Israeli-Palestinian peace talks, saying the United States "can no longer play a leading role".
"In case of an worldwide meeting, we ask that the United States be not the only mediators, but just one of the mediators".