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The injury has prevented Williamson from playing international cricket since December.
The recurring injury also forced Williamson to miss the second Test against India in Mumbai.
Opener Mayank Agarwal (4) and No. 3 Cheteshwar Pujara (9) were at the crease when stumps were drawn as India led by 63 runs.
Tim Southee will captain the T20I side.
New Zealand may have lost the final of the T20 World Cup but they won the hearts of fans world over by the decency and decorum with which they carried themselves on and off the field.
The meme shows Williamson in discussion with Kohli, with the former India T20 skipper, wishing the New Zealand captain "Good luck for the final."
Daryl Mitchell smashed an unbeaten 72 as New Zealand chased down their 167-run target with an over to spare.
Wednesday's first semifinal would be a rematch of the 2019 ODI World Cup final in which England triumphed on boundary countback rule.
Chasing 173, Scotland could only score 156 for five in 20 overs with Michael Leask top-scoring with 42 not out.
The Black Caps are a very organised unit led by the astute Willamson.
Results 31-40 of 86