The game was held at the 43,500-seater Rostov Arena on Sunday.
Brazil's Philippe Coutinho broke the deadlock in the 20th minute after curling a beautiful right-footed shot from the edge of the penalty area, which went in off the post.
16 June 2018, 18:16 GMT
Switzerland's Steven Zuber leveled the score five minutes after half time with a fine close-range header.
Serbia defeated Costa Rica 1-0 in the other Group E match earlier in the day.
READ MORE: Switzerland Head Coach Says Brazil’s Neymar 'Exceptional Player'
Brazil will next play against Costa Rica on Friday in St. Petersburg, while Switzerland will face Serbia on the same day in Kaliningrad.
