The governing body are looking into reports that a Brazil Football Confederation official threw a punch at the Chile striker following the loss on penalties on Saturday
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He told Lance newspaper: "There was pushing between the two sides. That always happens when everyone comes together. It was not an isolated incident and I did not punch anyone.
"It happens a lot and it has happened in other games too."
Fifa confirmed it was seeking further information on the matter. Spokeswoman Delia Fischer said: "There has been an incident and the disciplinary committee is currently analysing the matter."
Brazil went on to win the game on penalties following a 1-1 draw after extra-time. They face Colombia in the quarter-finals in Fortaleza on Friday.