Bihar will kick off their SMAT campaign against Saurashtra on November 14.
Kohli made a triumphant return to the Vijay Hazare Trophy last year.
Hardik Pandya captained MI for three seasons from IPL 2024 with poor outcomes.
The deadline for announcing player retentions before IPL 2027 auction is November 17.
India will play the second ODI of the five-game series in Wellington on November 7.
Kohli made 74 runs to help India win the first ODI by 5 wickets.