Larissa Bell, 21, from Glasgow, was cheered on by noisy England supporters as she climbed on the emergency response vehicle outside of London’s Borough Market.
She was visiting the British capital over the weekend when she joined in alcohol-fuelled celebrations following Saturday’s 2-0 victory.
Bell was staying with friends in Orpington in south-east London during the visit.
She later confirmed to the Sun she had been among revellers to climb onto the ambulance.
Met Police have issued an appeal in a bid to find a number of people who were seen on top of the vehicle near London Bridge after it was left seriously damaged.
The rapid response car had to be taken out of service for repairs after being left with a shattered windscreen and major dents in the bonnet.
London Ambulance Service issued a statement on Twitter condemning the incident.
“We’re delighted with the result, but this has put a big dampener on the celebrations for us,” the service posted.
“While our officer attended a call nearby, this car was damaged in Borough High Street during the celebrations after the game. It’s now off the road to be repaired.”
A Scotland Yard spokesman said: “Enquiries remain ongoing and no arrests have been made.
“Detectives from Southwark are investigating and are aware of images circulating via social media. Enquiries are underway to trace those involved.”