Putin also commented that stability in the region is "far from what we want to see".
In an interview with Reuters last month, Trump accused Russian Federation of helping North Korea evade global sanctions meant to punish Pyongyang for its pursuit of a nuclear-armed missile capable of reaching the United States.
During the call, Putin mentioned a meeting Tuesday with Palestinian Authority President Mahmoud Abbas. 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".More news: Kremlin Distances Itself From Reports Of Mercenary Deaths In Syria
"We keep hearing in recent months that the United States is about to publish some "major deal" that ... will satisfy everyone", he said.
Trump last spoke to Putin in December, when the Russian leader called to thank him for a Central Intelligence Agency tip that helped thwart a terror plot in St. Petersburg.
Putin repeatedly has said he hopes Trump can follow through on his campaign promises to improve ties with Russian Federation and thinks pressure from Trump's opponents has gotten in the way.
Trump White House has been less publicly critical of Israel's settlement building than previous administrations.
Palestinian statehood is recognized by more than 130 countries. Top Palestinian officials condemned the move, saying it disqualified the USA from playing the role of arbiter.
Palestine claims Israeli-occupied East Jerusalem as the capital of a future independent state, although Israeli settlements - in defiance of United Nations resolutions - are gradually annexing the city and its outskirts.
Earlier in the day, Tillerson told reporters after his meeting in Cairo with his Egyptian counterpart that the U.S. remains committed to achieve lasting peace between the Israelis and the Palestinians.