In first-round action, Danish teenager Caroline Wozniacki rallied to upset eighth-seeded Anna Chakvetadze of Russia 2-6, 6-1, 6-4.
The third-seeded Dementieva, who won Olympic gold in Beijing, had two breaks to win the first set. After winning the second, Srebotnik saved a break point in the fourth game of the third before forcing a tiebreaker.
The Russian won five consecutive points in the tiebreaker, serving two aces to close the match.
"It took time to adjust to the surface here,'' Dementieva said. "It wasn't easy to win today - it's traditionally inconvenient for me to play against Katarina.''
Dementieva is now 7-2 against Srebotnik, who beat the Russian in straight sets in Tokyo in September.
After losing the first set and going down 1-0 in the second, Wozniacki won eight straight games against the 12th-ranked Chakvetadze. The 18-year-old Dane, who is looking for her fourth title this season, then broke the Russian at love in the ninth game for a decisive lead.
"It was a tough match. I fought for every point,'' Wozniacki said. "And I came back.''
In the second round, Wozniacki will face Nadia Petrova, who ousted fellow Russian Anna Lapushchenkova 6-2, 6-1.
The winner of the match will play Dementieva in the quarterfinals.
In the men's event of the dual ATP and WTA tournament, Mischa Zverev beat Denis Gremelmayr 6-3, 7-6 (7) in an all-German first-round matchup.
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