Two UK banks have started internal reviews into whether they were used for corrupt payments by Fifa officials, the BBC understands.
The FBI referred to Standard Chartered and Barclays and HSBC on Wednesday in the indictment of 14 people but did not accuse them of any wrongdoing.
Seven of the 14 were Fifa officials, who were arrested in Switzerland.
Barclays and HSBC have declined to comment while Standard Chartered said it was looking into those payments.
The arrests came in the run-up to Friday's Fifa leadership election, in which Sepp Blatter was re-elected as president for a fifth term.
Meanwhile Labour's shadow health secretary Andy Burnham has called on England to boycott the next World Cup in 1918.
The former sports minister told BBC Radio 5 Live's Pienaar's Politics there was a "pretty overwhelming case" for the Football Association to act.
He said he had long had doubts about Russia hosting the event.
However, FA chairman Greg Dyke said it cannot act alone.
He told BBC One's the Andrew Marr Show: "It's got to be done by enough nations to have an impact, if it's done.
"It would be ridiculous to try to do it on your own because all we'd do is pull out of the World Cup and everyone would say 'well done' and they'd forget all about us.
"We've got to do it alongside other large footballing nations."
Burnham said: "I think the FA should be a bit stronger personally and should say what many people feel, that it's just not acceptable, particularly when you look at the alleged corruption within Fifa and then the situation between Russia and Ukraine.
"It would be very difficult but sometimes you've got to take a stand and you've got to say whether it's right or wrong.
"And I can't see how it feels right to me to send an England team to Russia to play in a World Cup as if nothing has happened. Qatar too - but that's an issue that's further down the line.
"If enough people take that stand and follow our lead, then we will see new arrangements for the 2018 World Cup which I believe is what we need."