Following the Brexit vote Britain has pledged to play a greater role in the US-led military alliance.
Government allies of Mr Cameron said he is open to taking a top job on the world stage – and believe Britain would benefit from his return to frontline politics. One senior member of Mrs May`s Cabinet said: `We`ve got to find a role for him – he has so much to offer. We have got to get him batting for Britain again.`
The current Nato boss, former Norwegian prime minister Jens Stoltenberg, will finish his term in either 2018 or 2019.
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