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Donegal Celtic finished the 2004–05 season in 3rd place losing out on a promotion play-off place to Lurgan club Glenavon and also lost the IFA Intermediate Cup final on penalties to the same team at Stangmore Park, Dungannon.
Another high profile game the club was involved in came in the 1986/87 season, when the first team were defeated 3-0 by the Royal Ulster Constabulary in the IFA Intermediate Cup Final.