Airline's lenders to meet next week to discuss next move.
The lenders have not ruled out selling the property to recover part of their loans to the company.
SBI has the highest exposure of Rs 1,600 crore to the beleaguered Kingfisher Airlines.
Banks are seeking an order that Mallya should appear in person before the court.
Vijay Mallya on Wednesday gave a proposal to the Supreme Court to repay around Rs 4,000 crore (Rs 40 billion) loan to banks by September this year.