Paiva was issued with a red card following the incident and will not be able to take any part in Brazil’s quarter-final against Colombia on Friday, FIFA spokeswoman Delia Fischer confirmed.
FIFA’s disciplinary committee was also investigating the incident, meaning Paiva could face further sanctions.
The fracas happened at half-time in Saturday’s match, which Brazil won on penalties.
Chile’s media spokesman Maria Jose said his Brazilian counterpart “hit” Pinilla.
Paiva told Brazilian media there was shoving by both sides as the two teams left the field.
“I was not the only one involved. Pinilla came looking for me and I just defended myself,” he was quoted as saying.
“I just pushed him,” he added.
“They started to insult us, there was some shoving but no assault,” Paiva said.
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