The Supreme Court has received two applications for leave to appeal in the cases seeking to review the outcomes of the Marriage Equality referendum.
The Supreme Court may deal with the applications without a hearing - just dealing with written submissions.
Appeals have already been rejected by the High Court and Court of Appeal.
The three judge Court of Appeal rejected the separate claims of Co Clare electrician Gerry Walshe and Kilkenny gardener Maurice J Lyons.
They claimed the views of those opposed to same-sex marriage were not taken into account by Government in the campaign.
Both men are lay litigants - meaning they have been representing themselves in court.
Mark Tighe is the Sunday Times legal correspondent.
He explained to Newstalk Lunchtime who is behind the appeals.