The Sydney Morning Herald newspaper reports that more than A$100,000 in bribes was distributed by some of Leslie's lawyers and an unsuccessful attempt was made to pay a police laboratory A$US20,000 to change the tests on the drugs.
Another US$20,000 or $A27,000 was offered to the Bali police chief I Made Mangku Pastika, but it was rejected.
Some members of the drug squad asked for US$400,000 or A$540,000 to ensure Leslie's sentence was only three months.
The paper said it understood this figure was reduced, but a large figure was distributed among many of those involved.
The Sydney Morning Herlad said that Leslie and Singapore model Siti Nameera Azman had been partying with the children of Jakarta's elite on the night of the arrest.
Leslie was travelling in a car with Ms Azman, Anindra Bakrie, son of Indonesia's economics minister, and two other men when she was arrested.
Mr Bakrie told officers his father was an Indonesian minister and police let him go.
They made up the name of the driver to cover up Mr Bakrie's presence, the Herald said.
The Indonesian minister later called police to say he didn't want his name used to secure Leslie's release.
Ms Azman said she did not know Leslie had converted to Islam.
Leslie's friend Norah Cullen said the model repeated "I am a Muslim" three times, and that meant she was one, according to Islamic practice.
But sources told the paper the Muslim story arose after Leslie was hounded by photographers upon her arrest.
An inmate raised the idea of an Islamic headdress and Ms Norah Cullen raced out to get one for the model, the source said.
When the pictures provoked outrage in Australia, Leslie's team said she had converted to Islam.