Andrew Mitchell, the former Tory chief whip whose career appeared to be over after allegations that he had called a policeman a "fucking pleb", is expected to return in a senior European post, it emerged on Sunday.
The former overseas development minister was forced to resign after Number 10 bungled an inquiry into an allegation that he had insulted an officer on Downing Street.
But in an interview on BBC1's Sunday Politics, Mitchell was asked whether he had discussed with Cameron taking up a job as Britain's new European commissioner.
Mitchell replied: "I do see the prime minister from time to time. … There is a very important job to be done in Europe, to make sure that Europe changes in the interests of everyone in Europe, but also in the interests of Britain," he said.
Reports on Saturday claimed that Cameron offered Mitchell the £250,000-a-year job at a lunch at Chequers, the prime minister's official country residence in Buckinghamshire.
The current commissioner, Baroness Ashton, who was appointed by Gordon Brown, is due to retire next year.
No 10 was accused of failing to investigate the allegations against Mitchell properly. A report by MPs blamed cabinet secretary Jeremy Heywood for failing to check the police log or CCTV and not devoting enough time to the matter.
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