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Three members of the Bali Parole Board visited 36-year-old Corby in her villa at the Sentosa Seminyak resort where she has been staying since she was released from Kerobokan prison on Monday, according to media reports.
Parole officer Ketut Sukiati told media that Corby's brother-in-law Wayan Widyartha had assured them she would follow instructions from Indonesian authorities not to do the interview.
Ketut also said Corby's family wanted to return to their compound in Kuta but were reluctant to leave because of the large media presence following her every move.
Since her release Corby has been in talks with the Seven Network about giving her first TV interview, with reports the exclusive rights could earn her $2 million.
The backlash in both Australia and Indonesia prompted sister Mercedes Corby to release a statement to TV in both languages on Thursday.
In it, she said: "The sums being reported are ridiculous".
Meanwhile in Jakarta more than 100 Islamic hardliners have slammed the Indonesian government for approving the Corby's parole, saying the convicted drug mule should receive the death penalty.
The crowd of mostly men from the Islamic Defenders Front (FPI) and other hardline groups gathered in the capital demanding her parole be revoked, saying the justice minister "should be ashamed" for green-lighting her freedom.
"This person brings marijuana into our country and is freed? That is simply unjust. Where are our rights?" senior FPI member Haji Awit Masyhuri said.
"She should have been given the death penalty - all drug traffickers should," he said, adding that the Indonesian government had shown special treatment for Corby because she was Australian.
A speaker on a megaphone shouted that President Susilo Bambang Yudhoyono was "bowing down to Australia" when he granted Corby a five-year sentence cut in 2012, paving the way for her eligibility for parole.