Washington (CNN) President Donald Trump and Democratic Sen. Dianne Feinstein got into a sparring match over reports that a staffer who once worked for the senator in California allegedly had a connection to Chinese spying.

At a rally in Ohio on Saturday night, the President claimed that Feinstein "had a Chinese spy as her driver for 20 years." Trump also incorrectly said that Feinstein, who is the top Democrat on the Senate Judiciary Committee and a member of the Senate Intelligence Committee, is "the leader of the Russian investigation."

Several committees that are chaired by Republicans have been involved in conducting hearings and interviews related to Russian interference in the 2016 election, including the Senate Judiciary and Intelligence committees and the House Intelligence and Government Oversight committees. Former FBI Director Robert Mueller is leading the special counsel investigation into Moscow's election meddling and possible collusion by Trump associates.

Trump went after Feinstein during the rally after making his first reference to the Russia investigation. The President added, "I like Dianne Feinstein I have to tell you, but I don't like the fact that she had a Chinese spy driving her and she didn't know it."

Feinstein hit back at Trump, responding to a Twitter post of his earlier on Saturday that asked whether she would investigate herself.

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