President Catherine Connolly has said she will now consider the views of the members of the Council of State before making a decision on whether to refer the International Protection Bill to the Supreme Court or sign it into law.
It follows a meeting of the Council of State which was convened by the President to discuss the constitutionality of the legislation.
The meeting, at Áras an Uachtaráin, began at 3pm and concluded just before 7pm.
A statement from her office tonight said the President "will now consider the members' views before making a decision as to whether to sign the bill or to refer it to the Supreme Court for a decision on the question as to whether the Bill or any specified provision or provisions thereof are repugnant to the Constitution or to any provision thereof".
The President's decision is expected before Wednesday night.
Among the 23 members were former presidents Mary Robinson and Mary McAleese and Michael D Higgins, as well as former taoisigh Enda Kenny and Leo Varadkar.
Also attending the meeting were Taoiseach Micheál Martin and Tánaiste Simon Harris.
The meeting, convened by President Catherine Connolly, began at 3pm and ended before 7pm.
Described by Minister for Justice Jim O'Callaghan as the most significant reform of Irish asylum laws in the history of the State, the Bill is tied to the EU Migration and Asylum Pact which will come into force across the EU in June.
It is made up of regulations around screening, tracking and reception conditions. It is also said to standardise asylum decisions and time limits in which they are made.
The decision to convene the council was welcomed by the Irish Refugee Council, with Sinn Féin saying it was not a surprise and that it was rushed through the Houses of the Oireachtas in a "reckless manner".
The Council of State is made up current and former presidents, taoisigh, tánaistí and chief justices, as well as other ex officio members and the President's seven appointees.
The power to convene the Council of State is contained in Article 26 of the Constitution.
Former president Michael D Higgins invoked the power four times during his 14-year presidency.
These meetings considered the Protection of Life During Pregnancy Bill 2013, the International Protection Bill 2015, the Judicial Appointments Commission Bill 2023 and the Defence (Amendment) Bill 2024.
