"Kumble was certified fit by Dr Anant Joshi and his fitness certificate was received today," BCCI secretary S K Nair said.
The Test team for Pakistan will be selected on Monday in New Delhi.
Kumble suffered a shoulder strain during the triangular One-day series in Australia and missed the second final in February.
Ajit Agarkar, who also did not play the final Down Under due to injury, had already submitted his fitness certificate, Nair said.
He said the selectors would discuss with captain Sourav Ganguly and coach John Wright in Pakistan over phone before finalising the squad.