FA vice-chairman David Gill walked out of a meeting with Sepp Blatter after calling on the Fifa president to leave office next year, Sky News reports.
The Guardian also reports that Mr Gill hit out at Mr Blatter's suggestion yesterday that the British press had tried to undermine Fifa because of "racism".
Former Manchester United chief executive Mr Gill apparently called the remarks "totally unacceptable".
More top news
Pregnant women who smoke are more likely to give up if they are given shopping vouchers, new research suggests.
Children are eating the equivalent of seven and a half chocolate fingers for breakfast, campaigners have warned.
Stephen Fry has suggested that the "the patter of tiny feet" may be on the agenda following his wedding to Elliot Spencer.