At an all-party meeting, the government also receiving backing on its proposal to bring an amendment to the Constitution to negate the impact of the apex court verdict directing immediate disqualification of MPs and MLAs on being sentenced for more than two years in a criminal case.
These were among four issues that were discussed in the meeting convened by the government to firm up a view on contentious issues.
Parties suggested that the Judicial Appointments Commission Bill should be referred to a Parliamentary Standing Committee.
The issue of Robert Vadra's controversial land deals in Haryana was also raised by Leader of Opposition in Lok Sabha Sushma Swaraj. The Left parties maintained that the government should not have objections if any issue was raised.
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The opposition parties felt that the responsibility for the running the House was primarily that of the government.
Left parties accused Congress and BJP of "match fixing" and disrupting the House proceedings to prevent real issues afflicting the people from being raised.
"We discussed the SC judgement on AIIMS. We talked about judicial commission and various court pronouncements. There is consensus among all political parties for effective steps to ensure supremacy of Parliament.
"...There is also consensus on the bills on reservation in AIIMS. All parties demanded amendment in the Representation of the People Act. All political parties want judicial commission bill should be introduced in this session," Parliamentary Affairs Minister Kamal Nath told reporters after the meeting.