City, on a tour of South America in 1914, lost 2-0 to a team of the best players the country had to offer in Llaranjeiras Stadium - a squad now officially accepted as the first Brazilian national team.
And on Sunday July 20 2014, 100 years to the weekend after the first meeting and seven days after the 2014 World Cup Final, Exeter and Fluminense will recreate the historic match in the same stadium - kicking off with the ball used back in 1914 and wearing kits based on the originals.
"The confirmation that once again Exeter City will play in Brazil represents another page in our club's fascinating history," chief executive Julian Tagg said.
"Its an absolute pleasure to be providing our supporters and the whole city of Exeter with the chance to be part of such a unique event.
"This event has been three years in the making and a huge amount of work has gone on behind the scenes.
"Fluminense is a major sporting club at a world level with a rich tapestry of achievements behind them and so for Exeter to be part of that history and recognised as such is something every true lover of our wonderful game should cherish."