Britain's vote to leave the EU has "very significant implications" for Ireland, a spokesman for the Dublin government has said.
Taoiseach Enda Kenny will make a statement after a special meeting of ministers this morning, the spokesman added.
Enda Kenny has been re-elected Ireland's Taoiseach, 70 days after the General Election.
The Fine Gael party leader, 65, was re-elected and will form a minority government in Ireland.
David Cameron and Taoiseach Enda Kenny have left talks in Belfast aimed at agreeing a financial settlement for the future funding of the power-sharing Executive.
The pair spent last night discussing a range of issues that have caused the Executive to fail to reach an agreement over proposed funding cuts as part of the government's welfare reforms. Items discussed included flags, parades, how Northern Ireland should deal with the past and the reform of the Assembly.
Unionist and Republican politicians in Northern Ireland refused to sign up to Cameron's package of reforms.
ITV News Correspondent Martin Geissler reports from Belfast:
David Cameron has left political talks in Northern Ireland conceding that no deal is possible at the moment.
The Prime Minister said he had tabled a financial package amounting to £1 billion but that would only be made available to the Executive if an agreement can be reached on outstanding disputes.
Many of the region's politicians are unhappy at the scale of the financial offer made, with some describing it as "derisory".
Sinn Féin leader Gerry Adams has criticised talks that have failed to reach an agreement to rescue the Northern Ireland executive from a budgetary black hole.
David Cameron and his Irish counterpart Taoiseach Enda Kenny said good progress was made but deal has not been possible.
The Prime Minister has proposed a potential financial package for consideration by Northern Ireland politicians involved in marathon cross-party talks, Downing Street sources have said.
The package was tabled alongside an amended Heads of Agreement document - outlining the state of negotiations on all of the issues - presented by David Cameron and Irish Taoiseach Enda Kenny in the early hours of this morning. Talks will resume today, before Mr Cameron leaves Northern Ireland earlier than planned at 10am.
David Cameron is in Belfast for talks with Northern Ireland's political leaders to try to save Stormont's power-sharing administration.
His Irish counterpart Enda Kenny is also there for talks that are expected to last into tomorrow as there appears to be little sign of a breakthrough.
ITV News Correspondent Martin Geissler reports:
David Cameron is in Belfast for talks with Northern Irish politicians over resolving long-running disputes in the region.
The issues at stake include flying of flags, parades and the legacy of the past.
The risks of failure are potentially high - with the possibility that the power-sharing Northern Ireland Executive could fall apart.
ITV News Correspondent Martin Geissler reports.