According to a report in the Wall Street Journal British private equity firm 3i is among the companies interested in purchasing the chain.
Citing sources familiar with the talks, the report said that that it was uncertain at this stage that the discussions would result in a sale.
Although it has been a public company since 2006, Burger King has already been through several buyout firms.
It has fared worse than its bigger rival McDonald's in the wake of the financial crisis and last week Burger King reported a drop of 2.3% in its global sales in 2010, compared to a 1.2% gain during the same period last year.
It also posted a 3.9% decrease in US and Canada sales, compared to a 0.4% increase in the same period last year.
Martyn Leek is news editor of BigHospitality's sister publication M&C Report