According to Il Sole 24 Ore, Suning is considering a €250m bid from Fortress that would allow the company to keep a majority stake in the club.
Suning is looking for "suitable partners” to support Inter financially and according to reports in Italy, the Zhang family could sell a majority or minority stake in the club.
BC Partners are in talks to take over the club, but the British fund's offer is not the only one that Suning is considering.
Economic paper Il Sole 24 Ore reports Fortress has recently placed a €250m bid that would allow Suning to keep a majority stake in the club.
Fortress would pay the fee in two instalments. Bain Capital Credit has also made a similar approach, according to the report.
Suning value the club at €1 billion and BC Partners has offered €700-800m to acquire a majority stake in the club, a proposal that Suning seems reluctant to accept.
The Public Investment Fund of Saudi Arabia is also reported to be considering a bid, but the economic paper claims there are no concrete negotiations between the two parties.