The CCTV footage shows Ms Garkovich boarding the train at Termini station, before changing her mind at the last minute.
According to the BBC, the 43-year-old woman was left with broken bones and put into intensive care after the incident.
Scrutiny has also fallen on the train's driver, Gianluca Tonelli, who is shown eating a sandwich in the cab of the train as it pulls away - with a helpless Garkovich in tow. Her bag strap, which is said to have become snagged by the door, was too thin to trigger the sensors that would have halted the train. Within seconds several passengers rush to her aid, while others desperately try to signal the driver that someone is stuck.
As the train gathers speed Ms Garkovich is dragged to the floor and along the platform, reportedly breaking her back and puncturing her lung.
Passengers on board the train were said to have pulled a number of emergency levers, but were unsuccessful in stopping the train.More news: Shikhar Dhawan replaces injured Murali Vijay for Test series in Sri Lanka
He said: "I am devastated by what happened to that woman".
The apparent failure of the emergency levers on board also prompted demands for an inquiry into wider safety issues.
"Therefore we consider it outrageous and offensive to say the train driver is entirely responsible, when you should thoroughly investigate the Rome subway security systems and their proper operation". But he added that in the video, it can be seen that he looked twice in the mirror, so he was not reckless.
Stefano Bottoni, national secretary of trade union Sul, told news agency Ansa, that extra measures were needed to avoid a repeat of the accident. "If cabin where the driver is situated on the train had cameras, then this whole situation could have been different".