David Cameron is prepared to accept at least 10,000 people from refugee camps on the Syrian border, Sky News understands.
And he wants to persuade Labour MPs to back airstrikes in Syria against Islamic State in a Commons vote within a month.
The Prime Minister also intends to launch a military and intelligence offensive against the people traffickers.
Mr Cameron will come under pressure, when Parliament returns on Monday to confirm precisely how many refugees the UK will take and what support local authorities will receive.
MPs will also get the chance to debate the migration crisis at an SNP opposition day debate on Wednesday.
Number 10 is keen to demonstrate that, given stinging criticism from elsewhere in the EU, the UK is 'pulling its weight'.
Meanwhile, Chancellor George Osborne has acknowledged that a comprehensive plan was needed to tackle the refugee crisis "at source".
Speaking to reporters at a meeting of G20 finance ministers in Turkey, he said that meant dealing with the "evil" regime of Syrian president Bashar al Assad as well as the militant jihadists of IS.
Nevertheless, Mr Cameron remains wary of staging another Commons vote on military action in Syria after his damaging defeat two years ago, unless he can be sure of winning.
He has already spent some of the summer trying to persuade Labour and his own MPs that extending military action beyond Iraq is necessary.
Although, given that the US and France are already involved in targeting IS in Syria and that the British contribution would be small, it is difficult to see what practicable difference the UK would make.
These plans are all an attempt by the Prime Minister to wrestle back the agenda on an issue he has struggled to command in the past week, one which is now the primary concern of voters.