Sadiq Khan today invited Donald Trump to visit him and his family in London to learn about Islam.

London's new mayor has been engaged in a war of words with the Republican White House nominee amid a continuing fallout over his plan to 'shut down' Muslim immigration to the US.

Mr Trump has insisted Mr Khan is 'ignorant' about the plan and claimed he would create an exception for the Muslim mayor.

Mr Khan yesterday repeated his belief the policy was 'divisive and dangerous' and suggested it would lead to Mr Trump's defeat at the US general election in November.

Mr Khan today told ITV's Good Morning Britain he wanted to engage with Mr Trump to try and change his mind.

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Sadiq Khan, pictured on today's GMB show with Piers Morgan and Susanna Reid, invited Donald Trump to London to meet his family and ease his concerns about Muslims

He said: 'I invite Donald Trump to come to London: meet my wife and my daughters; meet my friends and my neighbours; meet Londoners... who are British, they are Londoners, they are Muslim.

'If I can educate the presumptive Republican presidential nominee about Islam, I'm happy to do so.'

Mr Khan warned the billionaire tycoon risked making the world 'less safe' by creating a 'clash of civilisations.

He said: 'Are you doing the job of Daesh and the extremists for them by saying the West hates Islam?'

Mr Trump has insisted he is intending only to tackle a 'real problem'.

He said: 'I have many Muslim friends ... I was with one the other day, one of the most successful men, he's Muslim and he said, 'Donald you have done us such a favour, you have brought out a problem that nobody wants to talk about'.'

Rejecting claims he was anti-Muslim, he told interviewer Piers Morgan: 'Absolutely not. I am anti-terror.

'There's something going on that's not good, there's something going on that's very bad, there's something that you are not understanding and maybe the Mayor of London is not understanding.'

David Cameron has continued to refuse to apologise for branding Mr Trump 'divisive, stupid and wrong' when the politician made his proposals in the wake the California terror attack last year.

Mr Trump continued his war of words with Sadiq Khan and David Cameron in an ITV interview with Piers Morgan this week, branding the London Mayor 'ignorant'

Mr Trump has warned he will struggle to build a 'good relationship' with the Premier if an apology is not forthcoming.

But a Downing Street spokesman said yesterday: 'The Prime Minister has made his views on Donald Trump's comments very clear. He disagrees with them, and I haven't got anything further to add.

'He continues to believe that preventing Muslims from entering the US is divisive, stupid and wrong.'

The Number 10 spokesman said that Mr Cameron was 'committed to maintaining the special relationship' whoever wins the presidential election.

'He has been clear that he will work with whoever is president of the United States,' said the spokesman.

No proposal had been made for a phone call between the PM and Mr Trump, but Downing Street would be willing to consider it, the spokesman added.

David Cameron, pictured on the stump for the referendum campaign, has refused to apologise for attacking Mr Trump as 'stupid, divisive and wrong'