In December, the GAA opted to continue its deal with Allianz following a recommendation from its ethics and integrity commission, despite a petition signed by 800 current high-profile players calling for an end to the relationship.
The GAA’s deal with Allianz was not one of the 25 motions on the agenda on day two of Congress on Saturday.
Speaking on Friday evening, the GAA’s director general Tom Ryan addressed the issue.
“I do think we need to bear in mind where our responsibilities begin and end as an organisation,” said Ryan.
“We are motivated by the right things and we do want to do the right things and we are a force for good in communities and all that is really important.
“I know there are other issues in the world and they are actually more important issues than whether we play an All-Ireland final in August or July (one of the motions put forward to Congress), there are a lot more important things to be considered.
“But there are other organisations and other agencies society trusts in managing those issues. Those are the agencies with the expertise and the authority to take action in those areas, we don’t.”