The meeting came against the backdrop of World Trade Organisation (WTO) Director General Roberto Azevedo suggesting three alternatives to end the impasse.
Sitharaman and senior officials of her ministry met the Prime Minister and "apprised" him about the WTO related issues, sources said.
India had made it clear that it would not ratify the TFA until a permanent solution was found on the food security issue.
He said that WTO still not have a solution to the impasse and had asked members to continue discussing three potential scenarios of ways forward.
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Under the third scenario, "in the absence of a solution to the impasse", some members have indicated an openness to look for alternative ways to make progress, he said.
"Scenario 3A is that members seek implementation of the TFA as a plurilateral agreement outside the WTO. If this happens then I am afraid that the other Bali decisions and the post-Bali agenda will not have a bright future. But, overall, I have not heard much sympathy for this approach during my consultations," he added.
However he has added that the full implementation of the Bali package, as it was agreed in Bali in December last year, remains the best option.
After the inconclusive meeting of the General Council of the World Trade Organisation on October 21, negotiations were going on among member countries to resolve the issues.
The current WTO norms limit the value of food subsidies at 10 per cent of the total value of foodgrain production. However, the quantum of subsidy is computed after taking into consideration prices that prevailed two decades ago.