David Cameron said he would give London Mayor Boris Johnson "a warm welcome" if he decides to return to Parliament.
The Prime Minister told ITV News' deputy political editor Chris Ship: "I think he's got a huge contribution to make.
"Whenever Boris wants to, he'll get a warm welcome from me".
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Chancellor George Osborne will seek to reassure financial markets on Monday morning following Britain's decision to leave the EU.
In his first outing since the referendum result, the lead Leave campaigner has outlined his vision for a post-Brexit Britain.