The SC intervention in the matter comes just a few days after BJP returned to power in politically crucial Uttar Pradesh and installed Yogi Adityanath as the Chief Minister of the state.
The High Court judgement had said that Lord Ram was born under the central dome of the makeshift temple and that Hindus have the right to worship there.
The Babri Masjid Action Committee, a party in the Babri Masjid - Ram Temple case, on Tuesday while reacting on the Supreme Court proposal expressed reservation over the possibilty of any "out-of-court" settlement of the dispute.
Swamy told the court that it is hard to hold talks with both the communities and judicial intervention would be required. "If the Supreme Court passes an order in this regard, we will look into it", PTI quoted Zafaryab Jilani, convener of the committee, as saying.
"The Supreme Court's observation is a welcome step and I hope in light of the apex court's advise, all concerned parties will reach consensus and will find a solution to resolve the Ram Temple issue", LK Advani, who was the flag bearer of the Ram Janmabhoomi Andolan in the 1990s, told reporters. Praising the top court's observation while interacting with media persons, he said that all parties involved in the matter should try to come to a consensus. These are issues of religion involving sentiments.
The 2010 order said that there should be a partition of the Ayodhya land between the parties to the dispute, which is the biggest hurdle in the making of Ram Mandir. "All of you may sit together and hold a cordial meeting", the bench also comprising Justices DY Chandrachud and SK Kaul said. The RSS will go by the Dharam Sansads decision. Chief Justice J.S. Khehar said if the parties want him to mediate then he is ready for the task. Earlier, Swamy sought an urgent hearing into the matter and mentioned to the apex court that the case is pending since last six years, to which the Supreme Court asked Swamy to mention it on or before March 31. "RSS will not decide".
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During the hearing, senior Bharatiya Janata Party leader Subramanian Swamy said that several attempts were made to settle the matter through negotiations, but have failed.
"Government is always ready and encourages mediation".
On December 6, 1992, a mob of kar sewaks demolished the centuries-old Babri masjid which they believe was built on the birthplace of Ram, a claim contested by the Muslim community.
While this was so, the Vishwa Hindu Parishad (VHP) has announced that it will launch a new Ram Mandir movement across the country.
The VHP has also chose to re-launch the Ram Temple movement, saying it will launch a movement called "Ram Mahotsav" from March 26 to April 16.