Blackstone was previously said to be interested in the business but is not among bidders named by people familiar with the matter in a report by Reuters.
Global retail giant Wal-Mart was also notable by its absence having earlier been touted as an interested party.
Other bidders reported to have met the deadline included Australia’s Woolworths, Japan’s Aeon Co and China Resource Enterprises.
Hutchison Whampoa, which is controlled by Hong Kong billionaire Li Ka-shing, is thought to have set an asking price of between $3bn and $4bn for the business.
ParknShop operates 345 stores in Hong Kong, mainland China and Macau and earned HK$21.7bn ($2.8bin) in revenue last year according to a recent statement from Hutchison.
About 270 of the stores are located in Hong Kong.
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