Aside from slashing the club's debt in half, the group's funds would also improve the club's credit-worthiness, which in turn would make Liverpool more attractive for further outside investment.
Hicks and Gillett took control of Liverpool in February 2007, each taking a 50% stake.
However, their reign has proven unpopular with Reds fans, with the debt burden they have placed on the club and the delayed construction of the proposed new stadium at Stanley Park coming in for particular criticism.
Founded in 1996, the Rhone Group is owned and managed by financiers Robert Agostinelli and Steven Langman.
The company describes itself as "one of the world's leading mid-market private equity firms", and has its headquarters in New York with other offices in London and Paris.
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