The 14-man side flew in from Kolkata, where it had assembled for a brief camp before the series.
The one off Test at Fatullah will be Kohli's first as full-time captain after Mahendra Singh Dhoni abruptly retired from Tests during the tour of Australia.
Opener K L Rahul, originally named in the Test squad, was ruled out with fever and the management decided against his replacement.
Off-spinner Harbhajan Singh returns to the squad after playing his last international match in March 2013.
All the five-day games have been played in Bangladesh and the last time two teams met in a bilateral series was in 2009-10 when India won 2-0.