The GAA has stressed its "frustration and extreme disappointment" following reports of Dublin holding a training session involving several players in what was a breach of both the organisation's guidelines those imposed by the Government.
The statement came after several Dublin players were photographed training together in the presence of a coach.
The Irish Independent is reporting that the group gathered before 7am on Wednesday at Innisfails GAA club on the northside of Dublin.
The training session is in contravention of the Government's Level 5 restrictions.
In January of this year, the GAA confirmed that no collective training would be permitted for inter-county teams until further notice, warning that breaches would be dealt with under Rule 7.2 (e), which deals with misconduct considered to have discredited the association.
The GAA also warned all clubs this week that any earlier activities would put the return to play in "serious jeopardy".
Cork and Down footballers were both found to be in breach of the rules on collective training earlier this year.
Cork manager Ronan McCarthy received a 12-week ban from the time of the infringement and Down boss Paddy Tally was hit with an eight-week suspension.
In the statement issued today, the GAA said: "It is with frustration and extreme disappointment that the GAA acknowledges reports today of a potential breach of both our own Covid guidelines and those of the Government relating to the restrictions in place around team training.
"Less than 48 hours ago, the association reiterated its commitment to these current guidelines and called for continued compliance in the weeks ahead.
"The GAA will pursue the allegations with the units in question at the earliest opportunity and will invoke any necessary disciplinary processes as appropriate.
"In the meantime, while we acknowledge that the overwhelming majority of Counties and Clubs have complied in an appropriate and responsible way with the restrictions currently in place, we once again call on our members and units to uphold the integrity of the association as part of our ongoing efforts to play our role in thwarting the virus and ensuring a return to activity when it is safe to do so."