Christine Lagarde is set to be confirmed in October as the next president of the European Central Bank, after the region's finance ministers formally signed off on the agreement reached by governments last week.

The recommendation at a meeting in Brussels means the nomination will now go to the ECB's Governing Council and the European Parliament for consultation, though neither can block her. The European Union will then formally appoint her in time to replace Mario Draghi from November 1.

Attention has already turned to who will replace Lagarde as head of the International Monetary Fund. Finance ministers said it is too early to speculate on names, but that the tradition of appointing a European should continue.

Luexembourg Finance Minister Pierre Gramegna said the next IMF chief should be "a European who's competent and who has great experience in crisis management, that's what we need". He indicated that he expects the nominee to be a man, and acknowledged that former Dutch Finance Minister Jeroen Dijsselbloem "fits the description".

Mark Carney, governor of the Bank of England, is widely considered to be among the frontrunners. He is Canadian by birth but holds Irish and British passports as well. Governments are actively discussing nominating him, a person familiar with the matter said last week.

French Finance Minister Bruno Le Maire has said he's not a candidate, and his compatriot Benoit Coeure, an ECB Executive Board member whose term ends in December, has ruled himself out. Any bid by France could falter as both Lagarde and her predecessor, Dominique Strauss-Kahn, were French.

French Connections

Jens Weidmann, president of Germany's Bundesbank, has also ruled himself out.

Other possibilities include Bulgarian Kristalina Georgieva, the chief executive of the World Bank. She missed out on the nomination for the European Commission presidency so could fit the bill. Spain's economy minister Nadia Calvino has also been mentioned as a candidate.

Draghi's name continues to be floated, despite the Italian being above the IMF's age limit. Asked about that prospect on Monday, Italian Finance Minister Giovanni Tria said "he is the one who should be asked about that".