Vettori has already been coaching the Royal Challengers in the IPL since 2014
The Kiwi has been full of praise for Kohli too in his last few years at the RCB.
He announced his retirement from international cricket in March last year.
Former New Zealand left-arm spinner Daniel Vettori, who is currently the head coach of Indian Premier League (IPL) franchise Royal Challengers Bangalore and Big Bash League side Brisbane Heat, could find himself in the running for the position of India's national coach.
India and RCB skipper Virat Kohli, who took over the reins of the Test side from MS Dhoni after the latter's retirement from the game's longest format in December 2014, has suggested Vettori's name for the high-profile job. In line with the trend of international captains getting to have a say in the appointment of a coach - considering the way Greg Chappell and Gary Kirsten were handed the responsibilities in the past - Kohli seems to be convinced that Vettori is the right man for the job.
With India scheduled to play 18 Test matches between June 2016-March 2017, the appointment of a national coach could come around any time soon.
Vettori announced his retirement from international cricket in March last year after New Zealand suffered a heartbreak in the final of the ICC World Cup in Melbourne against Australia. Soon after hanging his boots, the 37-year-old from Auckland took up his first coaching role when Brisbane Heat came calling in April 2015.
He had already been coaching the Royal Challengers in the IPL since 2014 and is therefore two years into the role of a coach, a job that he seems to be enjoying thoroughly.
While the details are not out yet on what the BCCI is thinking, it seems to be clear now that barring the role of the chief coach, there won't be any other new appointments for now. Assistant coaches Sanjay Bangar, Bharat Arun and R Sridhar are likely to continue with their jobs, Indian media reports.