The minnows boss rejected the notion his men only focused on defending, while goalkeeper Vega stressed they want to go all the way in the showpiece event
The Venezuela national team rarely reached Brazil's goal, but kept their opponents at comfortable distance for most of the match to hold them to a scoreless draw.
Farias acknowledged the importance of the result, but stressed Venezuela have not yet accomplished anything in the competition.
"No doubt, this is an historical result in Copa America, I am sure of that," Farias said. "We have just managed a great debut against a giant like Brazil, who are preparing to win the 2014 World Cup.
"Getting good results has been a habit, but we have not done anything yet.
"When we could play, we played, and when we had to be gladiators to defend, we defended."
Venezuela keeper Renny Vega stated the draw was not a big surprise and added his side will be fighting for silverware.
"This is the third consecutive time that we draw against Brazil without goals. We have not won anything yet, this has just begun and we have to think about [the match against] Ecuador," he told Canal 7.
"Every player who comes to a tournament like this dreams of winning something, we did not come here for a stroll, but to win something."