Besides Brazil and Germany, Argentina was held to a 1-1 draw by Iceland on Saturday and Spain and Portugal played to a 3-3 draw on Friday.
In Brazil's first World Cup game since a 7-1 humiliation by Germany on home soil knocked them out of the competition four years ago, the five-time champions did nothing to suggest that they will add a sixth title to their record haul at Russian Federation 2018.
The five-time champions, so often lauded for their flair, failed to sparkle after Philippe Coutinho's superbly curled opener on 20 minutes.
Brazil failed to win their opening match at the World Cup for the first time since 1978, when they drew 1-1 with Sweden; they had won nine in a row between 1982 and 2014.
As Brazil pressed forward early in the first half Coutinho picked up a loose ball at the edge of the 18-yard box and put his shot out of reach of Switzerland's goalkeeper Yann Sommer and in off the far post.More news: Giuliani: Trump not issuing Russia investigation pardons during probe
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This being said, Shaqiri only scored one goal in the 10 World Cup qualifying games.
"I can't coach a team who complains".
Neymar's flamboyant blond "spaghetti" haircut certainly caught the eye although he only gave glimpses of the spectacular dribbles and plays he is renowned for and which led Paris St Germain to shell out €222 million for.
Despite enjoying 55 percent ball possession, with 21 shots on goal and seven on target, plus seven corner kicks, Brazil could not breakdown a resilient Swiss defence.
Brazil always looked in control until they ceded a corner and Zuber took full advantage of their collective lapse of concentration to level. He's got to be very unlucky not to be in the team.