The High Court is expected to deliver its judgment next week in the case of the Sligo based Nigerian woman Pamela Izevbekhai.
Ms Izevbekhai is challenging her deportation and says her two daughters, aged seven and five, will be subjected to forced genital mutilation if they return to Nigeria.
Her lawyers say the Minister for Justice failed to consider new evidence in support of her case.
However the State argued that no new material had arisen since deportation orders were signed in 2005.
The case concluded this morning and judgment is expected to be given next week.
Ms Izevbekhai's case is also due to be considered by the European Court of Human Rights.
The ECHR has asked the Government not to deport the family in the meantime.
