Kushner, then and now a close adviser to Trump, went so far as to suggest using Russian diplomatic facilities in the United States to protect such a channel from being monitored, the Post said, quoting U.S. officials briefed on intelligence reports.
Glassner did not immediately respond to a request for comment and a White House representative had no immediate comment, the Post said.
For his part, Kushner has said he would cooperate with the FBI's investigation.
His attorney, Jamie Gorelick, has said in the past that Kushner made "thousands" of calls during that period and did not keep track of them all. "He will do the same if he is contacted in connection with any other inquiry", the statement said.
This month, the Justice Department named Robert Mueller, a former Federal Bureau of Investigation director, as an independent special counsel in the probe, setting off alarms at the White House and stoking fears that it will have to endure a protracted investigation that may involve extended interviews with current officials.
The Russian embassy did not reply to requests for comment.More news: Modi, marking three years in power, opens India's longest bridge
"We know about the multiple meetings of Trump entourage members with Russian intel-related individuals", Carle said.
Besides the Kushner developments, which strikes at Trump's core by drawing his family into the crisis, the White House also faces a cascade of other worries in the coming week.
The statement from attorney Jamie Gorelick was issued Thursday amid reports that the FBI was investigating meetings Kushner had in December with Russian officials.
The CIA concluded in December that Russian Federation had attempted to interfere in the USA election with the intention of aiding Trump.
Before the election, Kislyak's undisclosed discussions with Kushner and Flynn focused on fighting terrorism and improving U.S.
Kislyak, according to the Post, told Moscow that it was Kushner's idea to use the Russian diplomatic facilities in the us for this goal.
Although no evidence has been found so far, the president and his staff have struggled to explain a string of meetings with Russian officials.More news: CENTRAL TRUST Co Has $30.47 Million Position in Exxon Mobil Co. (XOM)
"For Russia, it's extremely important that their officials here are able to talk with. the government in Moscow beyond US surveillance - out of reach of USA surveillance", he says.
Russian Federation would also have had reasons of its own to reject such an overture from Kushner.
In early December, after Trump had won the elections, Kushner and Flynn met in NY with Kislyak.
Kushner, who is Jewish, is one of Trump's closest advisers.
Mr Kushner offered in March to be interviewed by the Senate Intelligence Committee, which is also investigating Russia's attempts to interfere in last year's election.More news: Trump brands killer 'a loser' as he stands in solidarity with UK
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