The women already asked a different federal judge to hold Giuliani in contempt of court for repeating false claims.

“Severe discovery sanctions are warranted given Mr. Giuliani’s willful flouting of multiple orders of this Court, his history of refusing to participate in discovery even in the face of possible sanctions, and his conscious disregard of the inevitable consequence of his conduct,” attorneys for Ruby Freeman and Shaye Moss wrote Thursday.

Mr. Giuliani’s conduct necessitates severe sanctions—in particular, adverse inferences and preclusion,” Aaron Nathan of Willkie Farr & Gallagher informed District Court Judge Lewis Liman.