Saurashtrian run-machine displayed an innings of discipline and character to remain unbeaten on 306 as the hosts declared their innings at 564 for nine at tea on Day three of the match at KSCA Stadium.
Pujara, who had scored 352 against Karnataka in a first-class match, sweated out for nearly 10 hours in the middle, grinding the visiting team bowlers.
Pujara, who was batting on an overnight score of 139, accelerated the run rate to gain a substantial lead after Abhishek Nayar (11) and Paras Dogra (7) were packed off by medium-pacer Assad Fudadin and left-arm orthodox spinner Nikita Miller, respectively.
The skipper played some delightful shots as he smashed 33 boundaries while adding 177 runs to his overnight score. He reached his triple ton when he cover drove a boundary off left-hand medium fast Delorn Johnson for an exquisite boundary after facing 410 balls.
Unlike the Indian bowlers, especially Abhishek Nayar and Dhawal Kulkarni, West Indies A bowlers failed to swing the ball. Nevertheless, Ashley Nurse was the leading wicket-taker for the Windies with figures of three for 106, while Nikita Miller and Narsingh Deonaraine took two wickets each. Assad Fudadin and Johnson bagged wicket apiece.