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"I think, the [U.S.] president at this point he pressed him [Putin] and then felt like at this point, let’s talk about how do we go forward," Tillerson told reporters, CNN wrote.

"I think what the two Presidents, I think rightly, focused on is how do we move forward," he said. "How do we move forward from here?"

In turn, the Russian side asked for "proof and evidence" that it was behind the 2016 election meddling during Putin's meeting with Trump, Tillerson said.

Read alsoTrump, Putin reach deal on Syria ceasefire, talk Ukraine, cybersecurity, terrorism - mediaThat proof was not provided in the meeting, according to CNN. Tillerson said he would “leave that to the intelligence community to address the answer to that question.”

“I think that was the right place to spend our time, rather than spending a lot of time having a disagreement that everybody knows we have a disagreement,” said Tillerson.