The red-shirted supporters, mostly young men, surged through the FIFA media centre underneath the stands, pushing and shoving their way past journalists and TV crews toward a corridor they apparently thought would lead to the grandstands.
To get to the corridor, the fans broke down a temporary wall in one corner of the room, sending metal lockers crashing to the ground.
They then rushed back down the corridor in the other direction, sending parts of the same wall crashing down onto media work tables.
Security officials at the Maracana - where the final World Cup final will be held on July 13 - were slow to react.
They eventually contained the fans in a section of the corridor around 15 minutes after they first broke in.
FIFA said at least 85 fans were detained. Some were marched away in a line by security officials, their arms out in front of them and rested on the shoulders of the person in front.
Outside, riot police armed with stun guns forced dozens of the detained fans to walk single-file toward a holding area.
There, the Chile supporters chanted and loudly complained about scalpers charging $US1,000 ($A1,081.96) a ticket for the game.
"I travelled thousands of kilometres to get here!" one fan yelled, while others chanted "FIFA is a mafia! FIFA is a mafia!"
Asked how many guards should have been watching the entryway where the Chileans busted through, security guard Diego Goncalves said "about 20."
"I was the lone guy standing out there (near the entry to the press centre)," Goncalves said. "All of a sudden they knocked down the fence and just pushed their way through."
FIFA said the fans forced their way past security.
"Ahead of the Spain versus Chile match at the Maracana a group of individuals without tickets violently forced entry into the stadium, breaking fences and overrunning security," FIFA said in a statement. "They were contained by the security and did not make it to the seats."
In the joint statement, FIFA and Brazilian World Cup organisers said they "condemn these acts of violence."
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