David Miliband could be the surprise appointment in a future Andy Burnham cabinet – amid suggestions the former foreign secretary could return to frontline politics after more than a decade away.

The elder Miliband – who has run the New York-based International Rescue Committee since quitting Parliament in 2013 – has become the subject of fresh speculation in Westminster, where talk has turned to whether he could be lured back to the Foreign Office he last held under Gordon Brown.

There were murmurs that Miliband, who’s younger brother Ed is Energy Secretary, was interested in returning to the Commons around the last general election when he repeatedly declined to rule out a comeback.

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But the discussions this time are said to centre on a more unusual route: that he might accept a seat in the House of Lords and walk straight into the cabinet as Foreign Secretary.