Glenn Phillips raced around the outfield to take an excellent diving catch at extra cover to trigger an Australian collapse.
Inglis sustained an injury in a freak accident while playing golf.
They will, however, only be able to join their respective franchises after Australia play their lone T20 match against Pakistan on April 5.
In 136 ODIs, Smith has scored 4,722 runs at an average of 44.13. His best individual score is 164.
The IPL franchises are now expanding their bouquet of teams across leagues in the West Indies, UAE, South Africa and now the US is another untapped market that wasn't explored despite the Asian diaspora craving for some cricket.
Jos Buttler anchored the run chase to help the home side clinch the three-match series in Southampton on Sunday.
Australia looked on course to chase down a small target in their first T20 International against Pakistan before the game was called off due to rain on Sunday. Put in to bat, Pakistan were 88 for three wickets in the 13th over when rain interrupted play.
Smith ruled out; Cummins, Warner rested for white-ball tour.
The visiting Australians are wary of the threat Bumrah could pose in the series starting in Mumbai on January 14.
Australia clawed back to 2-1 in the five-match series following defeats in Christchurch and Dunedin.
Australia have never won the T20 World Cup with their best finish of runners-up coming in the 2010 edition in West Indies, when they lost to England in the final.
While ODI captain Aaron Finch said the team backed Justin Langer "100%", reports of players being put off by the coach's "grumpy" temperament have continued to surface.
Opener David Warner and all-rounder Mitch Marsh will be rested for the five-match Twenty20 International series against Sri Lanka next month to prepare for the upcoming tour of Pakistan.
KKR have used four different opening combinations in this edition but didn't bear fruit
IMAGES of the T20 World Cup match played between Australia and New Zealand at the Sydney Cricket Ground on Saturday
Australia's Aaron Finch turned to the umpire for advice on how to get Virat Kohli-Rohit Sharma out.
Australia will meet trans-Tasman rivals New Zealand in Sunday's final in Dubai where teams chasing under the lights have enjoyed a clear advantage.
'To be able to then just work through it, and you could see there definitely was a shift after the second game just from his own performance, you'd see there's a little bit of extra intensity in him after that.'
Spinners Dunith Wellalage (3-42) and Maheesh Theekshana (2-26) kept Sri Lanka in the hunt but Dasun Shanaka's side were left to rue a limp performance with the bat.
'Without a word of a lie, I promise you, I called (coach) Justin Langer a few months ago and said, 'Don't worry about Davey, he'll be man-of-the-tournament'.'
Aaron Finch suffered a blow to his head during a Sheffield Shield encounter on Saturday and was substituted by Travis Dean after Australia's limited-overs captain experienced concussion symptoms.
Australia skipper Aaron Finch hailed the India skipper for playing a brilliant knock.
Australia's top order fired in unison to secure a six-wicket win over England with Dawid Malan's career-best 134 for the tourists in vain as in the first one-day international on Thursday.
'Definitely Virat Kohli. He's No 1'
India captain Virat Kohli's two half-centuries in the recently-concluded Australia vs India ODI series have cemented his spot at the top of the MRF Tyres ICC ODI Player Rankings for batsmen.
Hasaranga rues Sri Lanka's brittle batting after Australia defeat
India will need their bowlers, especially Harshal and Chahal, to overcome their struggles ahead of the T20 World Cup.
'So excited to be a part of @MLCricket @SFOUnicorns.'
LSG are sitting in second place with 14 point thanks to a stupendous show by Rahul
Aaron Finch has matured immensely as a cricketer and filled the "void in terms of captaincy" in limited overs cricket, believes Australia's stand-in coach Andrew McDonald. What also helped Finch evolve as a skipper is the continuity in team selection, he pointed out.
Australia are going to wear an Indigenous-themed kit for the first time.
KL Rahul and Co would like forget the unsavoury incident and focus on the task ahead.
With Ravindra Jadeja unavailable because of injury, will India include the left-handed Rishabh Pant over Dinesh Karthik who is a designated finisher in the squad?
Guilty of making too many changes at the top, Kolkata Knight Riders will be looking to find a winning combination against Rajasthan Royals and snap their five-match losing streak in the IPL, at the Wankhede Stadium in Mumbai, on Monday.
Finch is happy that both Smith and David Warner have done incredible work during their time off the field which is showing off
Steve Smith will lead Australia against India in the upcoming three-match ODI series as regular captain Pat Cummins, who lost his mother recently, will not return for the white-ball contest.
Images from India vs Australia 3rd T20 International in Guwahati on Tuesday.
The Australian captain Aaron Finch struggled across all three formats during the India series, specially while trying to navigate Bhuvneshwar's inswinging deliveries.
Becomes fourth-highest run-scorer in T20 cricket.
The two players were eligible for Aaron Finch's national side after their 12-month suspensions for ball-tampering ended last month.
