Kalburgi's wife, in her plea, said that the investigation in Dabholkar and Pansare murder cases was in a "sorry state" and no progress has been made in bringing the killers to book.
The apex court had on Tuesday agreed to hear on January 22 in open court the pleas seeking review of its verdict but refused to stay its judgment.
Many of the stories, the pictures going out of India worldwide lately with these provocative processions, taunting of Muslims, bulldozers targeting mostly their properties, the sweeping 'othering' of a community of 200 million are painting the front pages and TV screens in the democratic world. That is where most of the friends we covet lie. Soon enough, these will also make our vital friends among the Muslim nations, from Bangladesh to Saudi Arabia and the UAE, uneasy. The best time for course correction is now, asserts Shekhar Gupta.
He said the Congress party is capable of dragging the judges into an unsavoury controversy and make them controversial 'should their judicial opinion not appear favourable in the cases in which the party has an interest'.
Police on Thursday registered a case of murder into the deaths of two teenage girls whose bodies were found in a field in Unnao even as a post-mortem revealed no injury marks.
There is ambiguity as some top leaders are not comfortable about moving the motion.
"What kind of prayer is this," the bench said.
Article 35-A, which was incorporated in the Constitution by a 1954 Presidential Order, accords special rights and privileges to the citizens of Jammu and Kashmir and denies property rights to a woman who marries a person from outside the state.
The arguments remained inconclusive and would continue on Friday.
The apex court also asked the the high courts to instruct the trial courts not to grant unnecessary adjournments during trial of cases.