A good start is half the job done and the two Australian powerhouse will need to strike form quickly when they face the wily Lankan spinners.
Chasing 263 for victory, India depended on Dhawan's 33rd ODI half-century, fellow opener Shaw's 24-ball 43 and an attacking 59 by Kishan to gallop to their target in just 36.4 overs.
Ishan Kishan was able to hit the ground running on his ODI debut.
Last month, Sri Lanka's players had refused to sign tour contracts for the England series amid an ongoing tussle with the board over an alleged lack of transparency in the central contracts
Sources from SLC have confirmed that the players will be returning from UK on Tuesday and they will be given a July 8 deadline, where they have to sign the contracts and those who are failing to do so will be considered ineligible from selection for the series against India starting on July 13.
Sri Lanka batsman Dhananjaya de Silva struck a run-a-ball 91 in the second One-day International (ODI) against England at The Oval but his efforts went in vain as Joe Root and Eoin Morgan smashed unbeaten half-centuries to defeat the visitors by eight wickets and take a 2-0 lead in the three-match series.
Hasan has become the third Bangladesh player to be ranked among the top two bowlers in ICC ODI rankings.
Chandimal slammed 85 runs as his innings was laced by 11 fours. While Dhananjaya scored 79 runs which include 11 fours and a six.
Ten players from Sri Lanka's preliminary squad have opted to sit out of the tour of Pakistan due to security concerns.
The middle-order batsman reached the hundred with a boundary to thirdman off Southee as he raised his bat to the applauding Sri Lankan dressing room.