The team was accompanied by its newly appointed head coach Anil Kumble and other support staff.
The squad will open the tour with a two-day game against the West Indies Cricket Board President's XI at Warner Park in Basseterre, St Kitts on July 9 and 10 followed by a three-day warm-up fixture at the same venue from July 14 to 16.
The opening Test is scheduled at the Vivian Richards Cricket Ground in Antigua from July 21 to 25.
India last toured the Caribbean islands for a Test series in 2011 that the visitors clinched 1-0 by winning the opening game at Kingston and drawing the other two matches in Bridgetown and Roseau.
Incidentally Kohli returns to the West Indies, where he made his Test debut, after five years as the team's captain and premier batsman.
The squad: Virat Kohli (c), Ajinkya Rahane (v-c), Murali Vijay, Shikhar Dhawan, K L Rahul, Cheteshwar Pujara, Rohit Sharma, Wriddhimaan Saha, R Ashwin, Amit Mishra, Ravindra Jadeja, Ishant Sharma, Mohammed Shami, Bhuvneshwar Kumar, Shardul Thakur, Stuart Binny.
