Labour has urged the Government to take in hundreds of Syrian refugees fleeing the fighting which has ravaged the Middle Eastern country for three years.
The United Nations called on the international community to offer both humanitarian aid for refugees and resettlement opportunities outside the country.
Shadow home secretary Yvette Cooper is urging the Government to accept 400-500 Syrians, including torture victims, women and girls at high risk and people with family links to the UK.
But ministers insist that Britain can best help by providing funds to assist those affected by the long-running civil war both inside Syria and in neighbouring states like Jordan, Lebanon, Turkey and Iraq.
Ms Cooper said that Britain should join some 16 nations, including the USA, France and Germany, which have agreed to allow a total of more than 10,000 Syrians to move to their countries.
This was a vile and sickening attack on an unarmed and innocent man on the streets of London and our thoughts remain with the family, friends and colleagues of Lee Rigby on a day when his murderers have been found guilty ...
The message from this court case, from the community in Woolwich and from us all is that acts of barbaric cruelty will do nothing to diminish our resolve to stand up to extremism in all its forms.
The local community, and people across the country, have refused to allow murderers and extremists to divide us.
– Yvette Cooper, Labour's Shadow Home Secretary Yvette Cooper
Shadow home secretary Yvette Cooper said: "Labour called for these benefit restrictions nine months ago. Yet David Cameron has left it until the very last minute to squeeze this change in.
"Why is the Government leaving everything until the last minute and operating in such a chaotic way?"
The shadow home secretary called on the Government to "beef up" enforcement against agencies which only recruit from abroad, and to adopt the rest of Labour's proposals to stop immigration being exploited to undercut wages and jobs for local workers.
Shadow home secretary Yvette Cooper says the government are 'flailing' over their immigration policy:
The Prime Minister is playing catch up. Why has it taken him eight months to copy Labour's proposal to make the Habitual Residence Test stronger and clearer?
After Labour proposed this change in March, the Government said it was all fine and nothing needed to change. Yet now, rather than following a coherent plan, they are flailing around.
No wonder public confidence in the Government's handling of this issue has collapsed.
This change was only one of Labour's proposals. The Government should also be beefing up enforcement of dodgy gangmasters and targeting sectors that are reliant on migrant labour to ensure they are working to train employees.
Describing the situation as "extremely serious", Ms Cooper said: "Clearly police and security agencies will be doing everything possible to locate this terror suspect and ensure public safety.
"The Home Secretary also needs to provide information about the decisions made over Mohammed Ahmed Mohamed's Tpim, how he was able to abscond and what the risks to the public are."
Cooper said the 27-year-old is now the second terror suspect to breach a Tpim in London in the space of ten months, after Ibrahim Magag absconded in a black cab last Christmas.
The Shadow home secretary said given the "long-standing concerns over the replacement of control orders and the limitations of Tpims", there should be an independent review into the adequacy of the terror control measures.
The shadow home secretary is set to call for the Government needs to move "into the 21st century" and do more to tackle online crime.
In her closing speech to the Labour Party Conference, Yvette Cooper will announce plans for the creation of a specific offence of identity theft and FraudWatch - a new industry-backed body to counter scams and fraudsters online.
Ms Cooper's speech comes after a host of high-profile cases of alleged cyber crime.
Two men appeared in court over the weekend accused of setting up a system to siphon off cash from accounts after gaining access to a Barclays branch computer in London using a planted keyboard video mouse.
Another two men appeared charged with credit card fraud linked to up-market retailer Selfridges.Another four men were charged over an attempt to take control of computers at a Santander bank branch to steal millions of pounds.