They were initially told by the National League Committee (NLC) that the result would stand as a referee’s decision cannot be retrospectively overturned.
However, they were given the option to appeal to the National Appeals Committee (NAC).
The NAC ruled the match should be replayed in its entirety, but Basketball Ireland has since said the option to appeal was “granted in error”.
The NLC then ruled the fixture would not be replayed in full, but that the remaining 0.3 seconds should be played.
Basketball Ireland said that should happen this week and it would be “in liaison with the clubs to determine when”.
The controversy came after Jason Killeen was adjudged to have been fouled in the act of shooting as the final buzzer sounded. The former Ireland captain landed the two resulting free throws to edge the Eagles ahead.
Those points stand, so they will lead 80-78 when the final 0.3 seconds of the match begin.
The winners of the tie will face MOY Tolka Rovers in the semi-finals.