Speaking to reporters after the two-day G20 summit ended, Mr Putin said he and Mr Trump had a long discussion about the allegations of Russian interference in last year's election which have dogged the Trump presidency.
Russian Federation has denied meddling, and Putin said Saturday that in the meeting, "I got the impression that my answers satisfied him" and that Trump "agreed".
When asked about what happened behind closed doors during Trump and Putin's highly anticipated face-to-face meeting at the G20 summit in Hamburg, Germany, on Friday, Haley said Trump wanted to look Putin "in the eye".
The Russian president and his administration have continually denied that the Kremlin interfered in last year's presidential election, despite US intelligence agencies concluding it was involved. Trump earlier said he wants to find ways to work with Putin over Russia's actions.
Saying that "everyone is interested" in fulfillment of the Minsk agreements, to which Kiev "is the main part", Lavrov said Moscow "senses that its Western partners very much understand the necessity of additional influence" on the peace process which so far has been delayed. "And I think he was satisfied with my answers". "Could have been a lot of people interfered", Trump said.
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"I think you're going to have to ask the president", the United States ambassador to the United Nations told CBS host John Dickerson Saturday.
The Russian president said that a working group on cyber security he and Mr Trump agreed to create should help prevent such election controversies in the future. "He is able to understand what you tell him, he analyzes your words pretty quickly and he is able to respond".
"It was very clear that he made his position felt - and after very substantive dialogue on this, they agreed to move on to other discussions", he said, referring to Friday's meeting in Germany.
If Russia's foreign minister, Sergey Lavrov, is to be believed, Mr. Trump accepted Mr. Putin's assurances that he isn't to blame.
"I think it very well could be Russian Federation, but I think it could very well have been other countries", Trump said during a press conference in Poland this week. "I answered those questions as best I could". US and Russian officials differed on details of the interaction, but both suggested Trump was focused on moving past the issue. "We spoke over the phone", he said, "but phone conversations are never enough, definitely".
"I think it could very well have been Russian Federation, but I think well could have been other countries", Trump said.
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