Fosun hopes to extend the private hospital operator’s model to the growing Chinese market according to the Australian Financial Review.
TPG and Carlyle are thought to have begun taking offers for the business in April, when it emerged IHH was considering an A$5bn bid.
IHH is backed by Malaysia’s sovereign wealth fund Khazanah Nasional, which holds a 44 per cent stake.
Earlier reports said that TPG and Carlyle hired banks Macquarie and UBS to act as global coordinators for the sale of the company.
The two private equity firms bought Healthscope in July 2010 in a deal that valued the company at A$2.7bn ($2.35bn).
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