The hosts were held by the Mexicans on Tuesday as their bid to get out of Group A was dealt a minor blow.
However, Bernard believes that he and his teammates can be satisfied with taking a point from the game.
"What we made clear in the locker room is that the important thing is to win and the second is not to lose," the 21-year-old told O Globo. "We went into the game knowing that a draw would not be a bad result."
Brazil return to action on Monday when they play Cameroon.