The Schalke 04 striker is out of contract in the summer and would be available for a cut-price fee of £6m.
However, the big doubt is whether FSG will be prepared to fork out for the 29-year-old Dutchman, considering their refusal to sign Clint Dempsey, also 29, in the summer transfer window.
But with only eight goals for Liverpool in the Premier League so far this season Brendan Rodgers is now desperate for a prolific goalscorer in order to rescue the club's season.
With 29 goals for the German club last season, Huntelaar certainly ticks the right boxes.
Share your views on our Liverpool FC Forum, Twitter, Facebook and Google+