"There was very little contact and every single time the referee stops the game", said Osorio, who never mentioned Neymar by name, and questioned a reporter who suggested the Brazil No. 10 was the target of his assertion.
At the 51st minute, Brazil would finally break the game open.
Neymar then set up Firmino for the second goal two minutes from time as Mexico exited in the last 16 for the seventh successive World Cup.
Although Neymar has scored only two goals in four games in Russian Federation, he did enter the World Cup after spending three months recovering from a broken right foot.
Tite has called in Filipe Luis to replace Marcelo for Brazil's World Cup round of 16 game against Mexico. It turned out to be pure histrionics.
Brazil's quarterfinal opponent will be determined in Monday's late match between Belgium and Japan.
In the scorching conditions in Samara, the Mexicans, who started with 39-year-old Rafael Marquez, made a frenetic start but were unable to convert their chances.
July Outlook: Will this intense heat stick around?
Across the country, organizers protesting Trump administration's "zero tolerance" policy, will need to watch out for heat as well. "The heat is going to get uncomfortable", said Mike Kennedy, a meteorologist with the National Weather Service in Moon Township.
Reaction: Neymar scared by a ghost?
Neymar was definitely going for the dinked shot, but we'll just glaze over that for now.
Brazil Player Ratings: How did Philippe Coutinho, Neymar and co get on against Mexico?
During the group stage, Neymar was often guilty of trying to go it alone, reminiscent of the 2014 World Cup in which he represented the Selecao's sole hope of winning the tournament.
The rapid recovery seemed miraculous for a player who missed the last three months of the season with a broken right foot.
"I think that the most important thing now is to take things calmly and carry out a meticulous analysis", Juan Carlos Osorio said.
It was a performance that illustrated coach Tite's influence on this Brazil team. A video review reversed the decision to award a penalty kick and Neymar's frustrations a few minutes later led to a yellow card.
Instead, it was Brazil who kept coming back and he helplessly looked on as Brazil wrapped it up a minute from time through Firmino. Belgium and Japan face off later in the day, with the victor facing Brazil on Friday.