Kohli is currently leading Royal Challengers Bangalore in the Indian Premier League (IPL) 13 edition being held in the United Arab Emirates due to the Covid-19 situation in India.
Shastri, batting coach Vikram Rathour, bowling coach Bharath Arun and fielding coach R Sridhar have all reached from their respective home cities on Sunday.
The camp had earlier been postponed twice because of the pandemic and is expected to feature 32 shooters, eight coaches, three foreign coaches and two support staff