The GAA and organisers of a benefit match to pay tribute to the late Republic of Ireland and Manchester United footballer Liam Miller have held two hours of talks on whether the game will be switched to Páirc Uí Chaoimh in Cork from the much smaller Turner's Cross.
A joint statement issued afterwards described the talks as open and constructive.
The meeting was called to discuss holding the game at Páirc Uí Chaoimh.
The statement said the GAA will now give further consideration to a proposal in this regard which was put to the meeting.
The benefit match on 25 September will feature former teammates of Liam Miller, with a Manchester Utd selection taking on a Republic of Ireland/Celtic selection.
Proceeds from the event are being donated to the Family of Liam Miller and to Marymount Hospice in Cork.
Today's discussions took place after Saturday's statement from Croke Park seeking a meeting with the organisers gave rise to some optimism that the game would be switched to Páirc Uí Chaoimh.
At a meeting of Cork County Council yesterday afternoon, councillors called unanimously on the GAA to allow the match go ahead at the bigger venue.
However, it is understood that today's meeting is intended by Croke Park as a courtesy to the Miller family and not a signal that the game will be moved.
Mr Miller, who played Gaelic football before his professional career took off, won 21 caps for the Republic of Ireland and also represented Sunderland and Cork City during his club career.
He died aged 36 in February after suffering from cancer, leaving a wife and three young children.
A host of footballers from home and abroad, including Roy Keane, Ryan Giggs and Rio Ferdinand, have signed up to play in the testimonial.
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All 7,000 tickets for September’s game at Turner's Cross sold out within minutes, leading to calls for the game to be switched to the 45,000 capacity Páirc Uí Chaoimh.
The GAA said it was "prohibited in rule" from hosting games other than those under the control of the association in its stadiums and grounds.
However, many leading figures in the game have called on the GAA hierarchy to relax the rule to allow the testimonial game to be played at the larger venue.