However, an SBI official said lenders are likely to meet the Kingfisher management soon.
This will be the first meeting after the government allowed 49 per cent FDI in domestic airlines.
"We have heard nothing concrete from them after the policy relaxation on FDI.
"Newspaper reports say they are in talks (with foreign airlines to divest stake).
"I am sure Mallya will come to us when he has something tangible," SBI chairman Pratip Chaudhuri told reporters in Mumbai.
Earlier, the 17-member bankers consortium had met in Mumbai and had asked airline promoter Vijay Mallya to personally make a presentation on turnaround plan.
SBI has the largest exposure of Rs 1,500 crore (Rs 15 billion)
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49% FDI in aviation allowed; industry happy