German Chancellor Angela Merkel has asked France if it is willing to put forward Christine Lagarde as the next chief of the EU Commission, sources have told the Reuters news agency.
Ms Lagarde is current managing director of the International Monetary Fund and former French Finance Minister.
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The Duke and Duchess of Cambridge met young people who have battled mental health issues on Saturday.
Former Chancellor Lord Geoffrey Howe was Margaret Thatcher's longest-serving Cabinet minister, also taking on the role of Foreign Secretary.
Lord Geoffrey Howe is known by many for his resignation speech which was seen as the catalyst which destroyed Margaret Thatcher.