A few bits of info which sadly do not make this any clearer:
On 15 May 2008, PM Brown's afternoon briefing (direct link isn't working): 'Asked about the Migration Impact Fund which had been mentioned in the Queen’s Speech, the PMS said that this had been around for a while; this was one of the measures, not the most significant, in the White Paper on the rights and responsibilities of British citizenship which was published in February and was part of the Immigration and Citizenship Bill.'
From an MP's website, June 2008: 'In a speech setting out the cross-Governmental approach to managing migration, Hazel Blears, the Communities Secretary, has stated that none of the money from the Migrant Impact fund, due to come into force next February [sic!], will go to help local services. Instead, she has said that Whitehall ‘cohesion teams’ will be sent around the country to advise local service providers how to manage migration better.'
http://www.shaileshvara.com/search/article.php?id=586Earlier in February 2009 in the HoC, Minister for Security, Counter-Terrorism, Crime and Policing Vernon Coaker claimed 'Migrant numbers do have an impact on costs, and that is why the Government have set up a fund, available from April 2009, to help local services with those costs, such as translators. That money will be made available to Government offices, including the Government office for London.'
http://www.publications.parliament.uk/pa/cm200809/cmhansrd/cm090204/debtext/90204-0005.htmThe subsequent references seem to be part of a 'funding the police' debate, rather than 'focusing on immigrants'.