Ravichandran Ashwin (3/90 in 35 overs) got quick breakthroughs in the final session as the tourists ended the third day's play of the third Test 180 runs behind.
Sodhi has represented Royals in eight IPL matches, taking nine wickets at an economy rate of 6.69.
In other big movements, Punjab Kings have released their last edition's captain Mayank Agarwal, while West Indies skipper Nicholas Pooran was released by Sunrisers Hyderabad.
India's pace trio took less than three hours to rout the tourists after Mominul Haque's decision to bat backfired.
Images from Day 2 of the Pink-ball first Test between Australia and India, in Adelaide, on Friday.
India's formidably consistent match-winners have a date with history in the New Year when they take on an out-of-sorts South Africa in the second Test in Johannesburg from Monday in pursuit of a coveted first-ever series win in the Rainbow Nation.
With Indian cricket team geared up for their busiest Test season comprising 17 five-day games, skipper Virat Kohli aptly stated that the coming days will be an indicator as to how they have shaped up as a Test unit. "This is the perfect situation and opportunity to challenge and assess ourselves as a Test team. These months will define how we play as a Test team in coming years," Kohli said at the pre-departure media conference ahead of Indian team's tour of the West Indies. Hailing Anil Kumble's appointment as the team's head coach, the Indian skipper said that now they have a man, who can also tell them how to win Test matches abroad.
Sunrisers Hyderabad would look to consolidate their gains when they take on beleaguered Kings XI Punjab .
India have a real shot at winning their first ever away series against South Africa,
Images from the Indian Premier league match between Sunrisers Hyderabad and Delhi Capitals, in Dubai, on Wednesday.
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).
Images from Day 1 of the first Test between India and Sri Lanka, at Mohali, on Friday.
Ravichandran Ashwin produced a bowling masterclass to grab 7 for 83 as India recorded their biggest ever win outside the subcontinent by thumping the West Indies by an innings and 92 runs in the first Test at Antigua to take a morale-boosting 1-0 lead in the 4-match Test series on Sunday. It was Ashwin's first five-wicket haul outside the subcontinent.
Mayank Agarwal has impressed at the top of the order in the few Tests he has played so far, but former India captain Sourav Ganguly says he will wait and watch before calling him a first-choice opener.
India took a firm grip on the first Test against Sri Lanka by taking a first innings lead of 192 and snaring the hosts' openers in the second innings by the end of Day 2 in Galle on Thursday.
A few bruised egos will eye redemption when India square off against Australia in the second Test in Melbourne from Saturday, ready to bounce back in skipper Ajinkya Rahane's hour of reckoning after their batting debacle in the series opener in Adelaide.
India have set an aggressive tone to the ongoing four-match Test series.
Pace bowler Bhuvneshwar Kumar was promoted to Grade A, but Yuvraj Singh and Gautam Gambhir, who have lost favour with the selectors, were dropped from the list of BCCI's contracted players for 2014-15.
31 games (including the play-offs) in IPL 2021 are left to be played and October-November will be the only period when international players will be available since no country has any series scheduled in view of the T20 World Cup.
Dean Elgar and Quinton de Kock struck commanding hundreds to author South Africa's spectacular fightback before Ravichandran Ashwin wrested back India's control with a five-wicket haul on the third day of the opening Test.
Ignored for India, Shaw sizzles with 61-ball 134
Back-to-back losses denting their confidence, defending champions Sunrisers Hyderabad would look to put their campaign back on track when they take on Kings XI Punjab in their IPL match, in Hyderabad, on Sunday.
Kings XI Punjab put the brakes on their summer of discontent as they notched up a convincing seven-wicket win over defending champions Mumbai Indians in the Indian Premier League (IPL).
Ravichandran Ashwin, who was left out of the first Test, is back in the mix as Shardul Thakur seems to have done his hamstring some damage during the training session at Lord's on Monday.
Rohit Sharma and Suresh Raina joined the run feast with superb centuries as India A posted a mammoth 582 for nine against South Africa A to take command of the first unofficial Test in Rustenburg on Sunday.
Rohit Sharma and Suresh Raina joined the run feast with superb centuries as India A posted a mammoth 582 for nine against South Africa A to take command of the first unofficial Test in Rustenburg on Sunday.
Images from Day 2 of the third and final Test between Sri Lanka and India in Colombo on Sunday.
A round-up of the Syed Mushtaq Ali Trophy T20 matches on Tuesday.
Virender Sehwag celebrated his international retirement with a scintillating ton for Haryana as Jayant Yadav also joined the century-makers' list to help the side post 319 for eight on a dramatic Day 1 of their Ranji Trophy cricket league match against Karnataka on Thursday.
India were on the verge of a riveting series victory after an incisive performance from the bowlers saw them skittle out Australia for a paltry 137 in their second innings on the third day of the fourth and final cricket Test in Dharamsala, on Monday.
Clinical India notched up another resounding win to humble a hapless Sri Lankan side by six wickets and clinch the five-match series in the third One-Day International in Hyderabad.
If the Australian summer was the stuff of dreams, the showing at home against a quality England side across formats brought about hopes of a bright future.
Umesh Yadav gave a brilliant exhibition of reverse swing bowling before Mitchell Starc's rearguard half-century helped Australia reach a competitive 256 for nine.
They stand on the opposite ends of IPL's success spectrum but there is little to separate between Mumbai Indians and Delhi Capitals in the tournament's 13th edition as they head into a blockbuster Qualifier 1 match, in Dubai, on Thursday.
'When somebody like Dhoni made it to the national side, the powerhouses of Indian cricket started to change'
Bowlers gave India the upper hand as Sri Lanka were bowled out for a below-par 205 in their first innings against India after opting to bat on the first day of the second Test in Nagpur on Friday.
While SRH can't afford to slip up even one bit with five games remaining, RR would be hoping to continue the winning momentum and hope that their foreign recruits continue in good nick like they did in the match against CSK.
Rohit Sharma and Suresh Raina joined the run feast with superb centuries as India A posted a mammoth 582 for nine against South Africa A to take command of the first unofficial Test in Rustenburg on Sunday.
Spoilt for choice with a pool of top quality performers in their ranks, formidable India are overwhelming favourites against minnows Bangladesh in a proverbial 'David vs Goliath' one-off cricket Test that starts in Hyderabad on Thursday.
Time is fast running out for the Mahendra Singh Dhoni-led Chennai Super Kings, a team which desperately needs its batting to click when it takes on SunRisers Hyderabad in Dubai on Tuesday in a battle to keep its IPL hopes alive.
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