Saini starred in his debut game returning impressive figures of 3/17 in India's 4-wicket win but has been punished for an animated send-off during the match.
The incident occurred in the West Indies' innings when Saini had Nicholas Pooran caught behind by wicketkeeper Rishabh Pant and the paceman proceeded to mutter a few words in the direction of the departing batsman.
The 26-year-old has received an official warning from the ICC and handed a single demerit point for his actions.
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"Saini was found to have breached Article 2.5 of the ICC Code of Conduct for Players and Player Support Personnel, which relates to using actions or gestures which could provoke an aggressive reaction from a batter upon dismissal," the ICC statement read.
"He has also been handed one demerit point."
Navdeep Saini has received an official warning for breaching Level One of the ICC Code of Conduct during India’s first T20I game against West Indies in Florida.https://t.co/uqLH3fEJVz— ICC (@ICC) August 5, 2019
There will be no need for an official hearing as Saini, who has been hailed by his skipper Virat Kohli for his nippy pace, confessed to the offence and accepted the sanction imposed by match referee Jeff Crowe.
If the fast bowler receives an additional three or more demerit points in the next 24 months, his demerit points will convert into suspension points.
Two suspension points can lead to a ban for one Test match or two one-day internationals or two T20Is.
India have already clinched the T20I series after they triumphed in the rain-curtailed second encounter by 22 runs under the DLS method.