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Indian skipper Rohit Sharma said the all-rounder has not suffered any major injury but was non-committal on his participation in the next game on Sunday against New Zealand.
Michael Bracewell's fighting 140 went in vain as India won by 12 runs.
The India pacer who joined DC for Rs 10.75 crore will return to KKR for the next edition of the IPL.
It is understood that since the team has time till Saturday to announce Bumrah's replacement, the team management has time to check out form and fitness of all three pacers.
Despite opener Dane Cleaver's fighting 83, the Kiwis were bowled out for 178 in 38.3 overs. Medium-pacer Raj Bawa picked up 4/11.
The Sanju Samson-led India A posted a 7-wicket win in the first unofficial ODI in Chennai.
Chasing a modest 162-run target, India were home and dry with more than 24 overs to spare.
While Pant and Amre were fined their entire match-fee, Thakur was penalised 50 per cent of his match-fee, IPL said in a release.
The 10 teams in the league, following the addition of Gujarat Titans and Lucknow Super Giants, will be bidding heavily for the Indian players in a list of 590 cricketers, including 227 overseas candidates up for grabs during the two-day event.
Thakur sent back Temba Bavuma (51) to record his maiden five-for in the longer version.
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