The petitioners seeking reconsideration by a larger bench, the observations made by it in a 1994 verdict that a mosque was not integral to Islam.
The SC underlined that it has no control over what Mughal ruler Babar did.
The Supreme Court on Monday ordered replacement of "old and worn out" tarpaulin sheet, ropes and other material with new ones.
In a fresh plea on Tuesday, the Centre said it had acquired 67 acres of land including the 2.77 acre disputed Ram Janambhoomi-Babri Masjid site and sought permission of the top court to return the excess land to its original owners.
Born in Ayodhya, Ansari was the first to file the suit on the matter in the court of civil judge of Faizabad in 1949.
Chandrakant Sompura has either planned, designed, built or renovated over a hundred temples in India and abroad.
'The political fallout of the verdict on national politics is pregnant with incredible opportunities.' 'Post-judgment politics can change the ground rules of election campaigning in the coming decades,' says Sheela Bhatt
The appropriate bench will fix the schedule with regard to the hearing of appeals in the case. "We will fix the date of hearing of Ayodhya dispute case before the appropriate bench in January," the CJI said.
Senior advocate Rajeev Dhavan told the bench that Justice Lalit appeared for former UP CM Kalyan Singh in 1994.
As the number of cases crossed 2,56,000 with more than 7,100 fatalities, according to Union health ministry figures, and the country made a calibrated exit from the lockdown in non-containment zones, shop shutters in many malls went up for the first time since March 25 but the sprawling retail places were eerily empty.
The litigant, in review plea filed through lawyer Ejaz Maqbool, has also sought an interim stay on operation of the verdict in which it had directed the Centre that a trust be formed within three months for construction of the temple at the site.
Narendra Modi's agenda is to build a Ram mandir, Hashim Ansari, the oldest litigant in the Ram Janambhoomi-Babri Masjid title suit, tells Syed Firdaus Ashraf/Rediff.com
Authorities said social media posts will be monitored to ensure that no attempt is made to vitiate the atmosphere.
The bench directed that the mediation will be held at Faizabad in Uttar Pradesh and the process should start within a week from Friday.
The judgment in the matter is to be pronounced by November 17, the day the CJI will retire.
Iqbal Ansari, one of the main plaintiffs who fought for the right of the community over the disputed land, says Muslims in Ayodhya won't be satisfied if the Sunni Waqf Board accepts the five acres in Dhannipur.
Close on the heels of the much-hyped '84-kosi parikrama' on August 26 last, yet another 'fixed' match between the Vishwa Hindu Parishad and the Samajwadi Party was witnessed in Ayodhya on Friday when blatant posturing by the two sides ended in a damp squib.
Mohan Bhagwat said the temple would be constructed in the same grandeur as it existed before, using the "same stones" under the guidance of those who were the flag-bearers of the Ram Janmabhoomi movement for the last 25 years.
Though Mohammed Hashim Ansari was the oldest litigant in the case and was against the Ram temple coming up at the site, he never spoke ill of his neighbours who were Hindus.
Justice Ranjan Gogoi, who will demit office as the Chief Justice of India in a week's time, has etched his name in the annals of history by giving finality to one of the most politically and religiously sensitive cases, the Ayodhya land dispute, which dates back to even before the Supreme Court came into existence in 1950.
'This is an emotional issue and cannot be resolved by law alone.' 'This can be resolved only by creating trust again.' 'So much bloodletting has taken place, there is no point in going on and on.' 'Let us sit together and negotiate'