The COA led by former CAG Vinod Rai had a detailed discussion with head coach Kumble and assistant coaches R Sridhar and Sanjay Bangar.
Diana Edulji and Ramachandra Guha were the other COA members who were present in the meeting held yesterday, before the Annual Awards function in the evening.
Kumble has been asked to prepare a report covering the the national team, women's cricket as well as junior cricket.
"It was a very productive meeting and lasted for about 30 minutes. It was an important meeting considering the COA had not formally met with the players and support staff.
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It has been learnt that COA chief Rai had a separate meeting with India captain Virat Kohli and junior selection committee chairman Venkatesh Prasad.
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