A Belfast law firm has lodged a Judicial Review at the High Court in Dublin to allow people in the North to vote in the abortion referendum.
A decision is expected next month.
A Madden and Finucane Solicitor says it's a matter of national importance and all citizens on the island of Ireland should be entitled to have a say on the Eighth Amendment.
The matter will be heard again on April 8.
A vote on repealing the Eighth Amendment, which recognises the equal right to life of the mother and the unborn child, is due to be held in May.