Her captors seemed to have a change of heart when they found out the model had a two-year-old child, and told police their "rules exclude kidnapping mothers" and made a decision to try and release her, the local paper reported.
But when she reached the studio the next day she was assaulted and drugged, then placed in a vehicle boot and taken to a small village near Turin where she was kept prisoner by Lukasz Pawel Herba, a British resident born in Poland, police said.
Police have arrested a 30-year-old Polish man - believed to be resident in the United Kingdom - in connection with the kidnapping.
Her kidnapper reportedly demanded €300,000 off her agent in the United Kingdom to prevent her "sale" online.
In a letter sent to the victim upon her release, Black Death told her that a "mistake" had been made in capturing her.
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"You have a two-year-old child and our rules exclude mothers", the kidnapper allegedly told her according to the Italian report.
Officers went through Herba's phone and computer and said they found photos of the woman and material stating she was for sale, while hair from both the model and Herba was found in the boot of his vehicle.
Investigators discovered that the kidnapper had organised several online auctions for the sale of abducted girls, which included a description and an opening price.
Police found a small bedroom at the property, but it is unclear whether it was used by the model or the kidnapper.
A spokeswoman for the Foreign Office said: "We have been providing consular support to a British woman in Italy and are in touch with local authorities".
The woman was released after being held for six days and investigations are being carried out by authorities in Italy, Poland and the UK.