"I would welcome Facebook coming and testifying before our parliamentary committees, yes," the prime minister said, as quoted by The Australian newspaper.
The prime minister added that he "would love to see the boss [Zuckerberg]."
"Naturally, he is the founder, but the important thing everyone is paying a lot of attention to the issue of privacy, and, of course, the question of whether people really know what is being done with their personal data," Turnbull clarified.
Turnbull noted that there were a lot of privacy concerns related to Facebook, and Cybersecurity Minister Angus Taylor had been mulling measures to address the issue, according to the media outlet.
The statement comes a day after the deputy chairman of Australia’s parliamentary intelligence and security committee, Anthony Byrne, told the newspaper that it was "completely unacceptable that information from Facebook users has been slyly handed over to Huawei by Facebook," stressing that the social network owed 15 million Australian users answers.
Facebook has faced widespread outrage as it emerged in March that personal data of about 50 million of its users had been harvested by the Cambridge Analytica consultancy firm without their permission through a special app. The information was allegedly used to help target political advertising. In early April, Facebook estimated the number of users affected at around 87 million.