The series has already been curtailed after BCCI took exception to the CSA's "unilateral" announcement of the itinerary in July.
CSA, desperate to cut down the financial loss that it would incur if the series does not go through, has offered to "send Lorgat on long leave", ESPNCricinfo has reported.
According to the report, during the "fruitful" discussion between the BCCI and CSA on October 12, the Indian Board had agreed to play two Tests and three ODIs in the month of December on the condition that "CSA chief executive Haroon Lorgat is not involved in India affairs in future".
If that happens, the BCCI could agree to play a three-Test series as requested by CSA.
The BCCI had a rather rocky equation with Lorgat during his stint as ICC CEO and was reportedly upset when CSA hired him earlier this year.