Pragya Thakur, MP from Bhopal, has filed an application seeking to dismiss the petition, said her lawyer, former advocate general P K Kaurav.
The high court dismissed the two criminal revisions against the acquittal of Bedi- one filed by the state government, and another suo motu on the basis of a newspaper report.
Justice AK Mittal was earlier Chief Justice of the Meghalaya High Court.
The stage is set for the swearing-in of Justice Jitendra Kumar Maheshwari as the first Chief Justice of Andhra Pradesh High Court.
Justice Jitendra Kumar Maheshwari, who is presently a judge of the Madhya Pradesh High Court, was on Thursday appointed Chief Justice of the Andhra Pradesh High Court.
In May, the Collegium had recommended that Justice Kureshi be appointed as Chief Justice of the Madhya Pradesh High Court.
A bench headed by Chief Justice Ranjan Gogoi said the communication of the ministry would be placed before the Collegium to take a call on it.
The court was told by Solicitor General Tushar Mehta, appearing for the Centre, that the Union government be given 10 days more for taking the decision as Parliament was still in session.
The petition seeks to set aside her election on the grounds that she allegedly adopted "corrupt practices" and whipped up communal passions during the campaign.
He also argued that the Centre does not have the last word on judicial appointments.