"Michel Platini has talked of European nations boycotting future World Cups if Blatter refuses to stand down. No options should be ruled out," Whittingdale, who is Britain's Secretary of State for Culture Media and Sport, wrote in the Sunday Times.
Member associations of UEFA will meet before the European Champions League final in Berlin on Saturday to discuss its next step. Before Blatter's re-election, Platini said they would be "open to all options".
But asked about a boycott, he said on Thursday: "I honestly don't wish that." In any case, achieving consensus at UEFA may be hard; French media reported that the president of the country's federation, Noel Le Grat, voted for Blatter.
Seven senior soccer officials were arrested in a dawn raid before the FIFA congress in Zurich, and U.S. authorities have said altogether nine officials and five sports media and promotions executives have been charged in cases involving more than $150 million in bribes over a period of 24 years.
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The indictment mentioned two payments cleared by Standard Chartered. "We are looking into those payments and will not be commenting further at this time," a spokesman for the London-based bank said.
Other banks named on the indictment, including Britain's Barclays, are making internal checks on their involvement and cooperating with the authorities, banking sources told Reuters.
Barclays declined comment.
A clear new start
British Prime Minister David Cameron and Greg Dyke, the chairman of England's Football Association, have urged Blatter to quit. Prince William, who lobbied for Britain to host the 2018 tournament along with star player David Beckham, has also spoken of the need for FIFA to reform.
The government of Germany, the reigning world champions, also called for change. Foreign Minister Frank-Walter Steinmeier told the Welt am Sonntag newspaper that soccer brought people around the world together. "That should be the real legacy of FIFA. I have serious doubts, whether FIFA is up to this great task without a clear new start," he said.
Many soccer experts regard a European-led boycott as unrealistic proposition believing that if it went ahead it would be a disaster for a sport that has avoided the kind of splits which have weakened others. Boxing for instance is now governed by four world bodies.
Dyke said it would be "ridiculous" for England to boycott the next World Cup in 2018 in protest because it would not have an impact. "It's got to be done by enough nations to have an impact, if it's done," Dyke told BBC TV's Andrew Marr show, saying any kind of action needed to be with others.
Later he told BBC Radio that any boycott needed the support of "10 large countries" to have an impact, adding that the Dutch and Germans were also demanding change.