"Rafael Dudamel said at a press conference in Salvador (northeast), after analyzing the match for the second date of Group A of CONMEBOL Copa América 2019, a match "almost perfect" for Vinotinto.
"We played a match that was almost perfect and today we are close to that perfection against a rival of very high performance individually and collectively", said the coach.
"Brazil demanded from the first minute. The team understood and had a good tactical memory to understand and fight back", he added.
Brazil scored two goals, one by Gabriel Jesús on 60 minutes and another by Philippe Coutinho on 86 minutes, but both were cancelled by VAR for Roberto Firmino's offside.
Dudamel said the 0-0 tie "is an historic result" for his country's football but called for measure ahead of the match against Bolivia on Saturday in Belo Horizonte.
"Today is very important, but this result will have a real value in the next match. If we don't make it worth seeking classification, this result will have been of no use", said the 46-year-old.
Dudamel admitted that "we had no finesse when it came to the association and elaboration of the game, and all that product of Brazil's immediate pressure to recover the ball.
With this result, Brazil and Peru, who beat Bolivia 3-1 in the Maracaná in the first game of the second day of the key, lead the group with 4 points. Venezuela is third with 2 and Bolivia is fourth without points.
The third and final key date will be played on Saturday with the Brazil-Peru matches in São Paulo and Bolivia-Venezuela in Belo Horizonte, both at 16H00 local time (19H00 GMT).