The counsel for both the parties informed a bench of Justices Dipak Misra and A M Khanwilkar that the settlement between them was an "immense possibility".
The bench thereaftrer asked the counsel to file details of settlement on the next date of hearing on April 10.
A panel of lawyers had told the court on February 20 that negotiations between Rathore and the developer were nearing completion and the draft of settlement has been exchanged by the parties.
The court was informed on January 12 that talks for settlement of the dispute were underway.
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The apex court had on December 14, 2016 asked Rathore to sit with the representatives of the builder and settle the dispute amicably. It had also asked the realty firm to remove deficiences in the flat as pointed out by Rathore and the SC- appointed committee, which visited the site, and hand it over to the minister.
Rathore had booked the flat in Parsvnath's Exotica project in Gurugram in 2006 and paid around Rs 70 lakh for it. The firm was to deliver the flat in 2008-09.
The apex court had on October 21 last year directed Parsvnath Developers to hand over possession of the flat to Rathore in two days, saying he should not pay any additional amount to the builder.