The much awaited clash turned out to be a full entertainer to the audience as Carlsen tried but could not make much use of his white pieces in a keenly contested game arising out of a Sicilian defence.
Both Carlsen and Anand inched to one point out of a possible two in the 10-player round-robin tournament following a draw in the opener too.
The other game to end early was a damp squib between former world champion Veselin Topalov of Bulgaria and Teimour Radjabov of Azerbaijan while Levon Aronian came up with a fine effort to outclass Hikaru Nakamura of United States.
After the end of the second round, Karjakin emerged as sole leader with a perfect two points out of a possible two and he is now followed by Aronian a half point behind.
Anand, Svidler, Nakamura, Calrsen, Topalov and Wang Hao share the fourth spot on one point each while Radjabov is ninth with ahalf point in his kitty. With seven rounds still to come, Hammer is at the bottom of the tables, yet to open his account.