Tursunov beat countryman Igor Kunitsyn 6-3, 7-5 and Simon defeated fellow Frenchman Nicolas Mahut 6-2, 3-6, 6-3.
Seventh-seeded American Robby Ginepri, the 2005 Indianapolis champion, lost to Chile's Paul Capdeville 6-4, 6-2.
In other opening-round action, German Benjamin Becker beat Dane Kristian Pless 6-3, 6-4; Taipei's Yen-Hsun Lu beat American Justin O'Neal 7-6 (7-2), 7-6 (14-12); and Australian Joseph Sirianni beat Russian Mikhail Ledovskikh 6-3, 1-2 after Ledovskikh retired due to an ankle injury.
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