Pandya will be treated by a specialist doctor from England at National Cricket Academy in Bengaluru, a report by The Indian Express said.
The allrounder twisted his ankle while he was trying to stop a drive by Bangladeshi batter Liton Das during India-Bangladesh match in Pune on Thursday.
Pandya immediately left the field and missed the remainder of the match.
He is likely to miss India's next World Cup match against New Zealand due to be played on Sunday.
Meanwhile, India maintained their unbeaten run in the ongoing World Cup outplaying Bangladesh by seven wickets, riding on Virat Kohli's 103 not out.