Triesman told a British parliamentary inquiry on Tuesday that world football governing body FIFA executive committee members Jack Warner, Ricardo Teixeira, Nicolas Leoz and Worawi Makudi had sought incentives to vote for England's unsuccessful bid to host the 2018 World Cup.
"FIFA asked for proof from the English FA and Lord Triesman ... I hope the English will provide proof, it's easy to say allegations without proof," UEFA president Platini, who is also a member of FIFA's Executive Committee, told journalists during a visit to the Baltic state's football academy on Friday.
Turning his attention to the discrimination row that has shaken French football, Platini said the "excessive words" of French football federation (FFF) technical director Francois Blaquart had spawned the outcry.
"I don't think that it's wrong and it's normal that the national technical director made the debate on what will be good for French football but his words were excessive and that's why we speak about discrimination," said Platini, president of European football's ruling body.
"The debate for me is logical though he spoke very, very excessively."
