Zac Goldsmith moves on to territory which is already being contested by his Labour rival for London mayor, Sadiq Khan, who has highlighted the cost of housing in the capital. "Londoners today are being priced out of their own city," the Conservative says, adding: "We need to build." He insists that "there is no shortage of brownfield land".

Zac Goldsmith welcomes George Osborne's devolution policies and argues that London needs to keep more of its own revenues. He adds that "mutual trust" to enable devolution to work can only happen with "a Conservative mayor working with a Conservative government".

Zac Goldsmith, who is the Conservatives' candidate to replace Boris Johnson at London mayor, addresses conference. The Conservative MP for Richmond Park says Boris Johnson managed to "defy political gravity to beat Ken Livingstone twice".

Theresa May spoke about UK immigration figures when she addressed the Conservative Party Conference. 

She said there was "no case... for immigration of the scale we have experienced over the last decade". 

And the home secretary told delegates that the UK did not need net migration in the hundreds of thousands every year.

A standing ovation greeted the end of Theresa May's speech.

Things are running a little behind time now. Boris Johnson and Zac Goldsmith are due to make speeches next.

"The people who have moved here down the generations have played a massive part in making this country what it is," Theresa May tells conference. "We have a proud history of... helping the vulnerable," she argues and claims she wants this to continue.

Theresa May argues that reducing the number of people who "wrongly claim" asylum means the UK can be "more generous" in helping the most vulnerable.

"We’ll establish a register of people and organisations that can provide houses for the settlement of refugees," Theresa May says, adding:

"I want to offer asylum and refuge to people in parts of the world affected by conflict and oppression, rather than to those who have made it to Britain," the home secretary says. "Safe return reviews" would mean "when a refugee’s temporary stay of protection in the UK comes to an end, or if there is a clear improvement in the conditions of their own country, we will review their need for protection". If conditions in their home country have improved for them, they will be returned, Theresa May says.

The home secretary says letting people claim asylum when they're already in the UK "fails on three counts". The policy "encourages vulnerable people to take dangerous and illegal journeys", it "rewards the wealthiest, the luckiest and the strongest" and is open to abuse. She says most applicants are men in their 20s. She turns to the idea of an EU-wide common immigration and asylum policy. Her answer is pretty clear:

Image source, Reuters

Theresa May takes aim at the Schengen passport-free area of EU states - which excludes the UK.