The Brazilian side were the stars of the 1982 World Cup but were eliminated by eventual winner Italy, while France lost the semifinal on penalties to West Germany.
For Brazil, the 1986 finals in Mexico was the last chance for this classic team to become world champions.
France, having been crowned European Champions in 1984, had advanced by putting holders Italy out of the World Cup.
When these two great sides met at the quarterfinal stage in Guadalajara, it produced one of the greatest World Cup matches of all time.
Brazil took an early lead after 17 minutes, as star striker Careca finished a brilliant passing move.
A swift counter-attack almost put Brazil 2-0 ahead when Muller hit the post.
Then France equalized when birthday boy Michel Platini scored.
The second half saw both sides continue to attack one another, calling on the opposing keeper to make save after save.
After Careca hit the post with a header, Brazil brought on its aging star Zico who immediately set up a penalty.
Even though both Careca and Socretes scored from penalties earlier in the tournament, Zico stepped up but his tame shot was saved by Bats.
Zico then had a header saved at point blank range before the game went into extra-time.
Despite the heat, the action remained relentless as both teams attacked and counter-attacked, forcing the most controversial moment of the game.
A superb Platini pass put substitute Bruno Bellone through on goal and the striker took the ball past Carlos, who then grabbed onto the Frenchman to prevent him from finishing.
The referee waved play on and Brazil went down the other end where a tired Socrates missed an open goal.
Bellone was involved in further controversy as extra-time ended and the game was decided by a penalty shoot-out.
After Socrates missed Brazil’s first penalty and Zico courageously stepped up to convert another, Bellone’s spot-kick came back off the post, hit Carlos and went in.
Under the rules of penalty shootout the ball cannot rebound, but the referee did not rule out the goal.
The French looked to be heading for the win until Platini spoiled his birthday celebrations by blazing his penalty over the crossbar.
But it didn’t affect the result as Julio Cesar hit the post and Luis Fernandez slotted his penalty home to win this classic encounter for France.