Story highlights Loretta Lynch said Friday she will accept guidance from DOJ prosecutors and the FBI

The assurances come amid an investigation into Hillary Clinton's use of a private email server

(CNN) Former President Bill Clinton said he regrets his meeting with Attorney General Loretta Lynch earlier in the week, an encounter that has caused another controversy for his wife's presidential campaign.

The 42nd president's remarks echo those made by Lynch on Friday, who acknowledged that the meeting has cast a "shadow" over the Justice Department's investigation into a private email server used by Hillary Clinton while she was leading the State Department. The criticism of the meeting prompted Lynch to say Friday that she will accept the determinations and findings of the FBI and career prosecutors who are investigating Clinton's email use.

"The President's conversation with the attorney general was unplanned and was entirely social in nature. But recognizing how others could take another view of it, he agrees with the attorney general that he would not do it again," an aide to Bill Clinton told CNN Saturday.

Hillary Clinton weighed in on the meeting as well Saturday, telling MSNBC's Chuck Todd, "Obviously, no one wants to see any untoward conclusions drawn, and they said they would not do it again."

Bill Clinton and Lynch met privately on Monday. Clinton, who had been in the Phoenix area earlier in the day for a fundraiser for his wife's campaign, according to a campaign source, joined Lynch aboard her plane while both were on the tarmac at Phoenix Sky Harbor International Airport.

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