The CJI suggested the meeting between opposing sides to fine-tune the issues already suggested by the Sabarimala bench while giving them three weeks to come up with issues to be considered.
The larger bench will decide religious issues relating to Sabarimala, entry of women into mosques, practice of female genital mutilation, Chief Justice Ranjan Gogoi said.
On September 28, last year, a five-judge Constitution bench, headed by then CJI Dipak Misra, lifted the ban on the entry of women of menstrual age into the temple sparking widespread protests across Kerala.
All exit polls, barring one, have predicted that the CPI(M)-led LDF is going to take a severe beating in the southern state, with around five of the total 20 seats.
A Pune-based Muslim couple had filed a petition in the Supreme Court on Monday seeking Muslim women's entry inside mosques to offer namaz.
Two young women Bindu and Kanakadurga had entered the hill shrine on 2 January during the Makaravilkku season leading to a huge protest.
A five-judge Constitution Bench headed by the then Chief Justice Misra had on September 28 last year junked the age-old tradition of the Lord Ayyappa temple by a majority verdict of 4:1.
Kanaka Durga and Bindu Ammini (40) had entered the hill shrine on January 3, breaking a centuries-old tradition and defying dire threats from right-wing groups.
The proposed wall was suggested at a meeting called by the Kerala government in the backdrop of frenzied protests by right-wing parties and a section of devotees over the state's decision to implement the September 28 top court order, allowing women of all ages to Sabarimala.
Earlier on Sunday, 11 women, all from Tamil Nadu, had come to Pamba base camp ready for a trek to the shrine to pray to Lord Ayyappa, but were stopped by protesters.
