The South Americans had 20 shots but could only put four on frame, seeing the Swiss hold them in the second half to split one point apiece.
But as numerous World Cup favourites have found so far in Russian Federation, friendly performances mean little when the competition kicks off for real and Brazil were found wanting against an aggressive and well-organised Swiss side.
Brazil now hasn't won in three straight World Cup matches, following the 2014 losses to Germany in the semifinals and to the Netherlands in the third-place match at the home tournament.
Brazil has conceded goals in six straight World Cup matches, going back to a 0-0 draw against Mexico in the second match of the group stage in 2014.
Philippe Coutinho opened the scoring for the five-time champions with this stunning signature curler in the first half.
Meanwhile, Tite's opposite number Vladimir Petkovic said he hoped his team would get some deserved recognition for the hard-earned point after few had given Switzerland a chance against one of the favourites in Russian Federation. There is video of what happened and the referee could have seen it.More news: Australia's Warner joins St Lucia Stars in CPL
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"Of course, neutralizing Neymar was a key ingredient of our game", said Swiss coach Vladimir Petkovic, dismissing charges that the star forward had been treated harshly. "I would like him to play a lot but he has to prove himself". "They did, and it worked".
It took them fully two years to recover from the experience, with the arrival of the Wily Tite in the dugout in the middle of 2016 restoring a sense of calm to the team. Coutinho had Brazil's best chance after the break but shot wide.
The confederation said on Tuesday (NZT) "these two actions constitute. clear errors by the referee, which thus should form part of the reviewable decisions that are analysed through VAR".
"Neymar is not 100 percent yet", Tite said. "We have only lost one of our last 5 games and we have showed we can react and that the team believes itself and can get results".
"When we are able to play forward and press higher up we were able to do it well and it is an excellent starting position for the rest of our group matches". We had 20 finishes but we should have made the goalkeeper work harder.
As discontent grew among the Brazilian fans with Switzerland's rigid defending kept the five-time world champions at bay, Portuguese expletives were hurled whenever the camera focused on the Swiss defenders.