The Uruguayans played the final 10 minutes of regulation and then injury time with only 10 players after Nicolas Lodeiro was given his second yellow card of the game.
France picked up the pressure from that point but Uruguay's defense played tight and refused France clear chances to grab the win. There were several opportunities -- corners and free kicks -- for the French late but the anticipation of the setup turned out to be greater than the execution.
It is the third consecutive World Cup that France starts by being shut out but French goaltender Hugo Lloris matched Muslera's efforts in the tie.
As a result, all four teams in Group A end the first day with 1 point in the standings. Earlier Friday, South Africa and Mexico played to a 1-1 tie earlier Friday in the opening game of the 2010 World Cup.
Group A teams have the second games of their round-robin play next week. South Africa next plays Uruguay Wednesday in Pretoria and Mexico goes against France Thursday in Polokwane.