India virtually batted Sri Lanka out of the second Test by crossing the 600-run mark for the second game in a row, setting themselves up for another big win on a pitch that is offering plenty to the spinners. India, resuming the day at 344 for three, went on to declare at 622 for nine post tea, thanks to half centuries from Ravichandran Ashwin (54 off 92), Wriddhiman Saha (67 off 134) and Ravindra Jadeja (70 not out off 85). Overnight centurions Cheteshwar Pujara (133) and Ajinkya Rahane (132) could not add much to their overnight score.
In reply to India's mammoth total, Sri Lanka were left reeling at 50 for two at stumps with Ashwin taking both the wickets.
The hosts face a daunting task of saving the game and also the series with Ashwin and Jadeja making the ball talk on a helping surface.
Ashwin, especially, looked well and truly back in his elements and bowled brilliantly to the left-handers. He dismissed opener Upul Tharanaga for a duck as the southpaw whipped one straight into the abdomen of Rahul, who did well to latch on to the ball.
A little later, Ashwin sent back Tharanga's opener partner Dimuth Karunaratne (25) with the one that took the outside edge on way to the first slip.
Skipper Dinesh Chandimal (8) came to the crease and looked aggressive while batting alongside Kusal Mendis (16) as Sri Lanka avoided further loss until close of play.
Earlier, the middle and lower order fired to take India beyond 600.
Ashwin, batting at number six, struck his 11 Test fifty on his way to becoming the fourth Indian to complete a double of 200 wickets and 2000 runs. He also became the fourth quickest in Test history to get to the milestone in 51 Tests, after Ian Botham (England, 42 Tests), Kapil Dev (India, 50 Tests) and Imran Khan (Pakistan, 50 Tests).
Post tea, Jadeja and Saha looked to score some quick runs. The left-hander smashed three fours and a six as he raced to his eighth Test half-century off 70 balls.
At the other end, Saha looked to attack as well, but he was stumped off Rangana Herath (4-154) in the 153rd over. It was the first instance of six half-centuries in one innings in a Test on Lankan soil and the second time for India after 2007 at the Oval.
It brought Mohammed Shami (19) to the crease who also threw his bat around. Jadeja-Shami put on 30 quick runs for the ninth wicket. Shami was last man out, caught at deep mid-wicket off Herath again. Umesh Yadav remained unbeaten on 8 as India crossed the 600-mark in the 156th over.
Earlier, Ashwin and Saha scored half-centuries as India reached 553/7 at tea. But Ashwin couldn't build on it, as Herath bowled him in the 122nd over. Thereafter, Saha and Hardik Pandya (20) put on 45 runs for the seventh wicket.
Both batsmen survived DRS reviews for lbw, and took India past the 500-mark in the 134th over. The visitors thus became the first team to score 500-plus runs in successive Tests on Lankan soil.
Pandya was caught at long-off off Malinda Pushpakumara (2-156). But Saha carried on and put on a resolute 57-run unbeaten partnership with Jadeja.
In doing so, he scored his 5th Test half-century off 113 balls and brought up India's 550 just before the tea break. This was after India reached 442/5 at lunch as both Pujara and Rahane fell in the morning session.
Sri Lanka were dealt some bad news in the morning when pacer Nuwan Pradeep (0-63) was ruled out of the remainder of the Test.
The pacer had injured his hamstring on day one and consequently the hosts have been left without a proper fast bowler in their attack for this game.
Even so, Pujara (overnight 128) couldn't take advantage of this situation as Karunaratne (1-31) trapped him lbw in the second over of the day. The bowler needed DRS review to get the dismissal in his favour.
Overall, Pujara faced 232 deliveries and hit 11 fours as well as a six. It brought an end to his 217-run partnership for the fourth wicket with Rahane (overnight 103).
The latter though continued batting resolutely and helped India across 400 in the 106th over. In doing so, he also brought up the 50-partnership with Ashwin for the fifth wicket off 84 balls.
Rahane looked set for a bigger score, but then against the run of play, he was out stumped off Pushpakumara in the 111th over. It was the first Test wicket for the debutant in his 100th First Class match. Overall, Rahane faced 222 deliveries and hit 14 fours.
Saha then joined Ashwin in the middle, and the duo put on 29 runs for the sixth wicket without any trouble, as India progressed towards another tall first innings' score.