You refuse to accept the politics of inertia, the Democratic mayor says of Labour, and underlines the importance of setting a pathway for future generations.

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Progressiveness and inclusiveness are "in the DNA "of the Labour Party, and are synonymous with Democrat values, De Blasio adds.

Touching upon Labour's history, Mr De Blasio says the party was born out of the efforts of working people "to get the right to vote" and grew to become "the larger economic voice" of working people - something he described as a "powerful" and "important" message.

BBC News website reader: Every politician across the board says that they are "passionate" about the NHS, yet none of them have made mention of the TTIP negotiations currently in progress.

On the BBC story Miliband says deficit is priority despite speech leaving it out RangerDanger comments: He might not be able to remember every detail of his speech - but I'm sure we can all remember the details of how the economy tanked the last time Labour were in power, and how we've had to suffer wages, jobs and pensions cuts ever since. I won't be trusting them with the purse strings again anytime soon.

Mr De Blasio praises the Labour leader, who he says has set out a "clear direction" and shown real leadership. He says Labour has been a "beacon for progressives" globally and a party with "an extraordinary rank of activists".

The New York mayor says he is confident that Labour will secure a "great victory" in 2015 - which meets with applause.

Ed Miliband introduces Labour's international guest speaker - Bill De Blasio, the mayor of New York. He says he has put "inequality on the agenda" in the city and that his message is being heard worldwide.

Conference will return at 14:30 BST for a speech from Bill De Blasio, Mayor of New York. Other afternoon highlights include Labour's election co-ordinator and foreign affairs spokesman Douglas Alexander setting out the party's 'General Election 2015 report'. The day - and conference - will be brought to an end with a speech from deputy Labour leader Harriet Harman, expected at 15.30 BST.

tweets:, external Going into the hall for the first time this conference to hear @BilldeBlasio speak! #Lab14

Summing up, Ms Cooper sets out Labour's vision: "Stronger controls at our borders, stronger action against exploitation, standing up to extremism, more police back on our streets, more help for victims to stay safe, justice for those whose voices aren't heard. Fairness, security, justice for all."

Ms Cooper goes on to say that "radical reform" is needed on Europe. Fair movement, not free movement is her message. She calls for tighter restrictions on new countries joining the EU, changes to benefit rules so people cannot claim when they first arrive, and for it to be easier to send home EU citizens who commit crimes in Britain.

Ms Cooper aims fire at her government counterpart Theresa May who, she says, has "failed to support victims of violence and abuse". She sets out Labour plans to create a new commissioner on domestic and sexual abuse, and to fund a national network of refuges to ensure those fleeing abuse "always have a safe place to turn".

Turning to the police, the shadow home secretary says Labour would introduce the "radical reforms" set out in a review by ex-Met Police Commissioner Lord Stevens , including the abolition of police and crime commissioners. The savings made would be put back into frontline policing instead, she adds.

Ms Cooper turns to child protection now - an issue which she says Labour will make a priority. She says more cases of child sex abuse are being reported to the police, but prosecutions "are down by 9%". More police and Home Office action is needed to keep children safe, she says - and pledges that a Labour government would undo government changes to barring rules in order to "bar convicted child sex offenders from working with children". Ms Cooper also announces that the next Labour government will bring in compulsory sex and relationship education in all schools.

The shadow home secretary is now on the attack - criticising the coalition government's record on employment rights. UKIP are in her sights too - claiming the party's policies would "hit jobs, scrap your rights at work, charge you to see your GP and cut taxes for millionaires by more than David Cameron".

Ms Cooper also calls for an end to employers "exploiting cheap migrant labour to undercut wages and jobs" - and pledges that Labour would outlaw agencies who only recruit workers from abroad and increase fines for businesses that employ people illegally. And she restates Labour's plan for greater transparency in supply chains to stop UK retailers from stocking goods that have been produced by slave labour in other countries.

Ms Cooper concedes that Labour "got things wrong on immigration" when it was in power. But she says government targets to reduce immigration to the tens of thousands are "in tatters". A future Labour government would bring in stronger border controls to tackle illegal immigration, she says, as well as proper entry and exit checks and smarter targets "to reduce low skilled migration and tackle abuse, yet make sure we have the university students and top talent we need".

Ms Cooper - who was born in Scotland and brought up in England - expresses her happiness that Scotland voted to remain a part of the United Kingdom. "But we don't feel fixed," she said - and accused political opponents the SNP, UK Independence Party and Conservatives of seeking to exploit that with the "politics of division".

But Ms Cooper says more must be done at home as well, including a strengthening of counter-terror powers to enable the courts to stop serious terror suspects "running away". All forms of extremism must be challenged too, Ms Cooper says, condemning anti-semitic attacks on Jewish gravestones and attacks on Mosques.