Earlier, Serbia beat Los Ticos 1-0 to move to the top of Group F.
Brazil, which was captained by Marcelo on Sunday evening, and their super star Neymar failed to make a real impact, and missed to score the victor with a header at the end of the game. "We're talking about a World Cup so everybody will try to defend their game".
Ramos also ignored a penalty claim late in the second half when Gabriel Jesus was wrestled to the ground by Switzerland defender Manuel Akanji.
Without further delay, let's take a closer look at a number of reasons that probably led to Brazil's undoing on the night.
As the star player, Neymar may feel extra pressure to put on a show at this World Cup.
As for Neymar, he will be looking to bounce back from a poor first showing against Costa Rica on Friday, where fans around the globe will be hoping to see the Neymar they know and love rather than the one they saw against Switzerland. Switzerland had offered barely any attacking threat before levelling when Zuber took advantage of a gaping hole in the heart of the Brazilian defence to head home Shaqiri's corner.
Paris Saint-Germain winger Neymar has called for extra protection from referees after the Brazil global was fouled a record 10 times against Switzerland on Sunday.
VAR is being used in the World Cup for the first time and, according to Federation Internationale de Football Association, should only "correct clear and obvious errors and missed incidents in clearly defined match-changing decisions".
"I was expecting to get a victory so, of course, I'm not happy with the result", Brazil coach Tite told a news conference.
Despite Brazil's optimism, the team is wary of Sunday's opponents.
They were one of the favourites going into the tournament and begin their campaign against Switzerland.
In France, urging the referee to consult their video assistants is a yellow card offence.