Trump stunned the world on Monday by shying away from criticising the Russian leader for Moscow's actions to undermine the 2016 presidential election, sparking bipartisan fury at home and prompting calls by some USA lawmakers for tougher sanctions and other actions to punish Russia.
"The composite image, by visual artist Nancy Burson, is meant to represent this particular moment in US foreign policy, following the pair's recent meeting in Helsinki, Finland", Time said in a statement.
He cited US sanctions and the expulsion of alleged Russian spies from the USA, telling reporters that Putin "understands it, and he's not happy about it".
"I just felt at this point in time that what we had assessed and reassessed and reassessed, and carefully gone over, still stands", Coats said.
"We need to have immediate public testimony from Secretary Pompeo, (Director of National Intelligence Dan) Coats, from Ambassador Huntsman", he said.
"They are feeding millions of their people stories", he said.
Trump has come under widespread domestic criticism about the meeting with Putin both from Democratic opponents and some Republicans.
The US leader later said he misspoke when he appeared to take Putin's denial of interference at face value and said he accepted the US intelligence community's view that Moscow sought to influence the 2016 vote.
The announcement that Mr. Putin was in talks to visit Washington again comes amid special counsel Robert Mueller's investigation into Russia's interference in the 2016 USA elections.More news: "Low expectations" ahead of Helsinki meeting with Putin
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"Well I would, because he's in charge of the country", he said.
Addressing a meeting of Russian officials, Putin said Moscow will "respond proportionally to aggressive moves" by North Atlantic Treaty Organisation, without elaborating on what action he intends to take.
"We will see how things develop further", Putin said, evoking unnamed "forces" in the USA trying to prevent any improvement in relations and "putting narrow party interests above the national interest".
The Russian leader praised Trump's mediation efforts in North Korea, but slammed his protectionist trade policies and the decision to pull out of the worldwide accord curbing Iran's nuclear activities.
He laughed and said: "That's going to be special".
At his joint news conference with Putin, Trump said they discussed Syria "at length" but was vague about the outcome.
It was one of the "most disgraceful performances" by an American president in memory, Republican Senator John McCain had said. Besides that initiative to make progress on arms controls, it was unclear what agreements Putin was referring two in Thursday's speech.