The match, which will be India's first international friendly of the year, is slated to be played at the Nehru Stadium at Fatorda, in Margao.
March 5 is a FIFA friendly match day.
India and Bangladesh have played 30 international matches between them so far. India have won 17 times while Bangladesh have won five matches. Eight matches have ended in a draw.
The last time the two teams met was at the 2013 SAFF Championship in Kathmandu and the match had ended in a 1-1 draw.