Some 200 people were aboard the Eurocity train when the accident took place shortly after 5pm (1am AEST) near the town of Nove Zamky, police and the Slovak railway company ZSSK said.
The state government has escalated its quarrel with Melbourne Airport, a day after announcing the rail link to the aviation hub will be delayed by four more years.
The group, aged between 12 and 15, is accused of terrorising and threatening commuters travelling on one of Adelaide's busiest train lines in recent weeks.
Footage, shared on social media, showed the train hitting the car at high speed and the vehicle being pushed some distance along the rail tracks, shocking onlookers.
The industrial action, which commenced early this morning, resulted in deserted stations across the city, leaving many commuters stranded and frustrated.
Two men have been charged after a police officer and a transport worker were allegedly assaulted, leaving the officer needing to go to hospital, at a train station in Sydney's west.
A teenage boy who reportedly fell from a train in Sydney's inner west this morning has been rushed to hospital with head injuries and several fractures.
There are new calls for a safety review of South Australia's iconic Cockle Train after an 87-year-old American tourist was struck and killed on the track.