Kirsten, who was India's coach from 2008 to 2011, took the team to World Cup glory at home. He left the coaching role after India won the World Cup at Mumbai's Wankhede Stadium on April 2, 2011.
After that he coached South African national side (quit in July 2013) and was also in-charge of Indian Premier League (IPL) franchise Delhi Daredevils (2014 and 2015 editions).
Now, the 47-year-old Kirsten himself has revealed that BCCI had made phone calls to him making a coaching offer again.
"There have been one or two phone calls but I was not in a position to make those decision," Kirsten, who in Mumbai, told "Mumbai Mirror" newspaper.
"There were always calls going on. Even when I was here for the IPL there were always calls going on. I always think it as a privilege to be offered ajob of international team, great honour. I am in India now to do some other works," he added.
India are currently involved in a 5-match ODI home series against South Africa. The MS Dhoni-led side does not have a coach. Ravi Shastri is the Team Director while Sanjay Bangar, B Arun and R Sridhar are assistant coaches.