The five-judge constitutional bench, comprising Chief Justice Ranjan Gogoi, Justice S.A. Bobde, Justice D.Y. Chandrachud, Justice Ashok Bhushan and Justice S. Abdul Nazeer suggested mediation of the issue in the course of hearing of a batch of cross petitions challenging the 2010 Allahabad High Court verdict trifurcating the disputed site in three parts, giving one each to the Nirmohi Akhada, Ram Lalla and the original Muslim litigant.

"We are considering the possibility of healing relations" between two communities, Justice Bobde said, adding "we as a court can only decide the property issue".

The suggestion however, was not accepted by the lawyers appearing for the Hindu parties.

But those appearing for the Muslim parties accepted it noting that the mediation and regular hearing on the petition challenging 2010 Allahabad High Court judgement will go on concurrently.

"On our side, we are agreeable so long it (mediation and hearing) is going concurrently," senior counsel Rajeev Dhavan, representing a Muslim party, told the bench.

Appearing for a Hindu litigant, senior counsel C.S. Vaidyanathan said: "In a matter like this there is not much of meeting ground. It has been tried more than once. We don't want to have another round of mediation."

Advocate Ranjit Kumar, appearing for another Hindu litigant, said: "This has been tried in past, it has not worked. Mediation is not possible."