Anglo Irish Bank, which is owed £2.37bn by Quinn Group, is also in the frame
A?deadline for potential bidders for Quinn Insurance passed on Friday, with a number of insurers recording their interest in buying the company.
Investment bank Macquarie is running the sale, with Irish insurer FBD and American giant Liberty Mutual expressing an interest.
The Liberty interest is being driven from its US headquarters, with industry sources suggesting bosses are particularly interested in the healthcare business.
Anglo Irish Bank is also interested in either taking on Quinn Insurance by itself or putting together a joint bid with another insurer. The nationalised bank is owed €2.8bn (£2.37bn) by Quinn Group.
Insurers are keen to submit an expression of interest as it allows them to fully access Quinn’s financial details without committing them to a bid.
A large number of firms, including private equity specialists, had been sent an information memorandum on the company prior to the expression of interest.
Earlier this month, Quinn was barred from re-entering the UK commercial market.
The Irish financial regulator ruled that Quinn did not have the liquidity and capital to sustain a re-entry.
Quinn responded that it was “trading robustly” and had the financial strength to mount a comeback.
A spokesman for Quinn's administrators was unavailable for comment.