Rebel Names have been told they cannot use the Human Rights Act to keep open their case against Lloyd's.
Mr Justice Cresswell's decision in the Court of Appeal this week has closed another avenue for disgruntled Names, who are seeking damages against the market for long-standing asbestosis claims which came to light in the early 1990s.
In November, Cresswell dismissed the test case brought by Sir William Jaffray, in which he claimed the market had defrauded Names by conspiring to keep the extent of these losses hidden.
About 170 Names, represented by the United Names Organisation, were attempting to use the Human Rights Act to change their application against the market to negligence rather than fraud.
Rebel Names are those who rejected the settlement offer made under the reconstruction and renewal deal in 1996 that Lloyd's brokered in the wake of these crippling asbestosis claims.