(CNN) The House Intelligence Committee is investigating whether attorneys representing President Donald Trump, his family and the Trump Organization misled the committee or obstructed its Russia investigation in the preparation of Michael Cohen's false 2017 statement to Congress, according to letters obtained by CNN.

House Intelligence Chairman Adam Schiff sent letters in March to four lawyers who were part of the President's joint defense agreement asking for documents and testimony related to the crafting of Cohen's 2017 statement to the committee and any discussions of presidential pardons.

But the Trump lawyers rejected the request in a letter responding to Schiff, accusing the committee of overreaching in its oversight request and raising attorney-client privilege concerns.

In a followup sent this month, Schiff set a deadline for the end of last week for the attorneys to cooperate. Schiff is prepared to issue a subpoena if the attorneys won't cooperate, a senior committee official said.

Schiff rejected the notion that the material would be covered by attorney-client privilege, while arguing that Cohen submitted a statement that was "coordinated, reviewed, shaped and edited" by the attorneys. Schiff said that Cohen's statement had "false materials" and "omission of fact" with the "intended effect of impeding the investigation."

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