The airline said it has already submitted initial report to the regulator DGCA about the incident which created an uproar and invited all-round condemnation.
The Mumbai police have registered a case against an unknown person in connection with the episode.
Vistara, which is run under a JV between Tata Sons and Singapore Airlines, regretted the "unfortunate experience" and apologised to Wasim.
It also said senior members of the management team have been flown to Mumbai to meet the "Dangal" actor, who narrated her ordeal on Instagram via live video.
Also Read
In addition, Vistara has submitted an initial report to the DGCA and also given all necessary details to the police, the airline said.
In the video, which Wasim recorded immediately after deboarding the flight, the 17-year-old actor broke down several times.
"So, I was in a flight travelling from Delhi to Mumbai today and right behind me one middle-aged man who made my two-hour journey miserable. I tried to record it on phone to understand it better because the cabin lights were dimmed, I failed to get it..." she said.
"The lights were dimmed, so it was even worse. It continued for another five to ten minutes and then I was sure of it. He kept nudging my shoulder and continued to move his foot up and down my back and neck," the Kashmiri teen, who shot to fame for her stellar performance in Aamir Khan's blockbuster "Dangal", said in the post.
"No one will help us if we don't decide to help ourselves. And this is the worst thing," she added.
Terming the incident as "shameful", Maharashtra State Commission for Women's (MSCW) chairperson Vijaya Rahatkar said they will seek a detailed inquiry into it from the Directorate General of Civil Aviation (DGCA).
Rahatkar said there should also be an enquiry into why the cabin crew did not help the actor.
Based on her statement, a case was registered at the Sahar police station against the unknown person under IPC section 354 (assault or criminal force to woman with intent to outrage her modesty) and relevant sections of the Protection of Children from Sexual Offences (POCSO) Act, since the actor is a minor, Sahar's senior police inspector Lata Shirsat said.
"We are enquiring with the airport authorities and the airline concerned to establish the identity of the person," another police official said.
"Any harassment/crime against women should be dealt with swiftly and effectively. As a mother of two daughters, I am appalled at what happened with @zairawasimz. Hope the relevant authorities take strict action," she tweeted.
Former J&K Chief Minister Omar Abdullah also demanded action against the passenger.
"The passenger should be identified to the police by @airvistara and a case filed for legal action. None of this "he fell at my feet so I forgive him" rubbish!" Abdullah posted.
"We are carrying out detailed investigation and will support Zaira in every way required. We have zero tolerance for such behaviour," the airline had tweeted immediately after the video went viral on social media.
"We apologise for what she experienced and we have zero tolerance for such behaviour," Kapoor said.
Condemning the incident, Shiv Sena spokesperson Neelam Gorhe said a criminal offence should be registered against the male passenger and he should be asked to apologise for the indecent behaviour.
"Those travelling by airlines usually work in good positions in companies. If the owners of such companies do not take suitable action against such employees their conduct will never change," Gorhe said.
Disclaimer: No Business Standard Journalist was involved in creation of this content