The call for the GAA to scrap its controversial Rule 21 that bars members of the RUC and British security forces from joining the organisation has been welcomed by the SDLP.
"Obviously we would very much welcome such a development," a spokesman for the party said.
The move followed yesterday's decision by the SDLP to accept a plan for future policing in the North, and endorsement of the proposals by the North's Catholic bishops.
Elements within GAA attempted to scrap the rule soon after the signing of the Belfast Agreement three years ago but the move failed to gain the necessary support at a special session of the organisation, and a compromise was adopted.
The GAA today welcomed the SDLP's decision over the policing issue, but noted that "some difficulties" persisted.
A statement also pointed out that the 1998 convention had approved the removal of the ban "once acceptable police reforms were in place."
The call for the abolition of the policy came from Fine Gael TD and former GAA star Mr Jimmy Deenihan, who is the party’s deputy spokesman on Northern Ireland.
"I would hope the GAA's consultative basis will not take too long and that they will bring this rule to a special congress as soon as possible. This is a defining moment, and I hope the GAA will grasp this opportunity," Mr Deenihan said.
Additional reporting PA