Attorneys for Grigorieva sought to either disqualify Gibson's attorneys or require a judge hearing the case to review records of the Russian musician's dealings with the firm.
Grigorieva claims the attorneys should be blocked from handling the case, because she consulted with a partner at their law firm.
Grigorieva's lawyers are appealing last month's lower court ruling that she waited too long to ask to have them barred from the case.
She consulted with the firm of Kolodny and Anteau when she was dealing with custody issues involving her son with actor Timothy Dalton.
The appeal said Gibson's attorneys sought records of the dispute with Dalton, including emails, text messages and other correspondence between the former couple.
Stephen Kolodny, one of Gibson's attorneys, said in an email that he would not comment on Grigorieva's appeal.
The Associated Press contributed to this report.
