Both CSA president Chris Nenzani and CEO Haroon Lorgat have been invited to the meeting the cricketing body confirmed on Sunday to the African News Agency.
Also attending will be the head of Cricket Australia (CA) with chief James Sutherland and chairman Wally Edwards representing Australia.
BCCI secretary Anurag Thakur told espncricinfo the meeting would take place on the sidelines of the IPL final.
“Yes, we have invited the CEO and chairman of Cricket Australia and Cricket South Africa for the IPL final in Kolkata and, on the sidelines of this match, we will discuss the future of Champions League with them,” Thakur said.