The auto park, which sits opposite the Echo Arena, became engulfed in flames after a fire in a Land Rover spread throughout all floors of the building.
Liverpool International Horse Show held at the Arena was cancelled and hundreds of spectators left without their vehicles had to use public transport to get home.
The fire was accidental but questions have been raised over whether a sprinkler system would have extinguished, or at least slowed-down the impact of the fire.
An insurance trade body says some £20 million could be paid out to victims of a Liverpool auto park inferno that incinerated some 1,600 vehicles.
In a statement issued on New Year's Day, the Echo Arena team said: "We are continuing to work with the emergency services who have worked tirelessly throughout the night to bring the fire under control".
The ABI said payments had already been made to some customers for vehicles and belongings lost in the fire.
European Court: All EU Nations Must Recognize Rights of Same-Sex Couples
The majority of E.U. nations have marriage equality, but some offer civil unions with equivalent or limited rights. The couple challenged the decision in Romanian court, claiming it was discrimination based on sexual orientation.
Canada complains to WTO, says USA breached trade rules
Trump amid NAFTA talks: If you kill the deal, this is how Canada will fight you in trade disputes. With its WTO filing, Canada is forcing the United States to put its logic to the test.
Trump offers New Year's Eve message
Since arriving for his current visit on December 22, Trump has visited the golf course on every morning except Christmas. Donald Trump is now staying at Mar-a-Lago during the holidays, venturing back and forth to his private golf club.
Nina Barbour, president of Liverpool Horse Show, said: "I would like to express my huge thanks and gratitude to the emergency services, the Echo Arena staff, riders, grooms and support staff, the general public and the City of Liverpool following Sunday night's events".
Liverpool Mayor Joe Anderson said the blaze started in a four-wheel drive vehicle on the third level.
Witness Sue Wright, who helped move some of the horses, said flames were shooting out of the Land Rover engine. Despite the damage, an arena spokesperson confirmed all people and horses are safe and that "there were no injuries during this awful incident".
"It looked like a ball of fire on the front of the vehicle and it was producing a lot of smoke", she said.
Merseyside Fire and Rescue Service/PA Temperates reached 1,000C during the blaze.
Residents living in apartments nearby and tourists staying in hotels were also forced to leave as 12 fire engines and aerial ladders were scrambled to the scene at about 4.40pm on New Year's Eve.