Chowrasia, at tied 15th, was the best Indian among the four who started out.
Of the other Indians, Gaganjeet Bhullar shot two-under 70 to lie 26th, while Shiv Kapur carded one-over 73 and was tied 82nd. Jeev Milkha Singh struggled to a four-over 76 in tied 130th place.
Francesco Molinari grabbed the first round lead by taking a share of the six under par lead to make a great start to his bid to convince Paul McGinley to make him one of the three available Ryder Cup Captain's Picks.
Kapur had four birdies, three bogeys and one double while Jeev had just two birdies against six bogeys.