Among those Putin wants to question is former US ambassador to Russia Michael McFaul, a noted critic of the Russian president, and American-born financier Bill Browder, who successfully lobbied the USA government to impose new sanctions on Russia.
The president's comments prompted top intelligence officials in his administration, as well as fellow Republican leaders in Congress, to reaffirm the findings that Russian Federation had tried to influence American voters.
When asked by Mitchell why he issued his statement on Monday in response to Trump, Coats said he was just doing his job. At the time, White House officials worked to convince a skeptical president that the Nordic capital would serve as a more effective backdrop - and warned of a firestorm should a West Wing meeting go through.
The White House announcement comes as it laid out the agenda for an autumn summit between Trump and Putin in Washington that would focus on national security.
"I don't think there is any doubt that they did it, and I think we should all be prepared - given that capability and will - that they'll do it again", she said at the Aspen Security Forum.
She left the door open on the question of whether Russian Federation favored candidate Trump.
She also mentioned that Russian Federation continued to sow discord after Trump's election, citing activity related to the white nationalist rally and attack on counter-protesters in Charlottesville, after which Trump blamed "both sides".
President Donald Trump rejected Thursday a proposal by Vladimir Putin to allow Russian officials to interrogate a former United States ambassador and other American citizens, amid outrage across Washington that he would even consider it.
The Russian ambassador to Washington also denounced "anti-Russian anger" in the United States and reiterated denials of Russian meddling in the 2016 presidential election - interrupting a questioner to say "We didn't interfere!"
Trump's administration has sought to control the damage from their private meeting and news conference Monday in Helsinki, where Trump astonished the world and drew sharp criticism at home by siding with Putin over US intelligence agencies on Moscow's meddling in the 2016 election.
More: Why is Trump open to letting Russian Federation interrogate Americans, including former US ambassador McFaul? The State Department, by contrast, rejected the proposal - which Trump days earlier had called an "incredible offer - as "absurd".
Konstantin Kosachev, head of the upper house of parliament's foreign affairs committee, said the idea sets a risky precedent that threats the "the whole idea of diplomacy", according to Russian news agencies.
At a White House news conference in June, Nielsen said only Congress could stop family separations.
Trump has only alluded to the refugees when speaking about the meeting.
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