Following Phil Hogan's resignation as Ireland's EU Commissioner last night, the Taoiseach says the three Government party leaders will meet to discuss this successor.
Mr Martin says the shared objective is to nominate a person of a very high calibre, and says they will respond to the request of the EU Commission President Ursula von der Leyen to nominate a man and a woman.
At attention turns to possible successors, Leo Varadker appears to have ruled himself out.
Asked if he would be interested in the European Commission job, the Fine Gael leader said he intends to continue to lead his party and to work hard in his role as Tánaiste and Minister for Enterprise, Trade and Employment before becoming Taoiseach again in 2022.
Foreign Affairs Minister Simon Coveney is another name being mentioned, as well as Midlands-Northwest MEP Mairead McGuinness, who's First Vice-President of the European Parliament.
Several non-politicians are also believed to be in the mix - including David O'Sullivan, a high-ranking official in the European Commission.
Sligo-Leitrim Independent TD and former MEP Marian Harkin says there are a number of politicians and non-politicians with the experience to be considered for the role of Commissioner.