Washington (CNN) During a tense exchange late Wednesday, Sen. Kamala Harris pressed Supreme Court nominee Brett Kavanaugh about whether he had discussed special counsel Robert Mueller's investigation with anyone, including any individuals at the law firm founded by the President's personal attorney.

On the second day of confirmation hearings, the California Democrat asked the appellate judge whether he had "ever discussed special counsel Mueller or his investigation with anyone."

After answering "with other judges I know," Kavanaugh was asked if he had discussed the probe with anyone who works at Kasowitz Benson Torres, the New York law firm founded by President Donald Trump's personal attorney Marc Kasowitz.

Kavanaugh replied that he's unsure he knows everyone who works at that law firm and asked the senator if there was a specific person she was talking about.

"I'm not remembering, but I'm happy to be refreshed or if you want to tell me who you're thinking of," Kavanaugh said.

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