Davenport is playing her first tournament on clay in nearly three years after missing time in 2006 with a back injury and 2007 because of the birth of her son. But she is very familiar with the green clay at the Bausch & Lomb, a tournament she won in 1997, 2004 and 2005.
Davenport won 89 percent of the points on her first serve.
"Overall, I felt I actually hit the ball better than I did [Tuesday] and did a few things better," said the 16th-seeded Davenport, whose son, Jagger, turns 10 months old on Thursday. "Now, it's just about trying to get more consistent."
"I don't think I did too many things wrong," Hantuchova said. "[Sprem] was just playing incredible, going for every shot and almost everything going inside the court. Today she was just too good."
Sprem, who is coming back from a wrist injury, will face Davenport on Thursday.
No. 2 Anna Chakvetadze and former titlist Amelie Mauresmo also advanced to the third round. No. 11 Mauresmo, the 2001 tournament champion, was a 7-5, 6-1 winner over wild-card entry Sorana Cirstea. Chakvetadze defeated Ayumi Morita 6-3, 6-1.
"I didn't really play that consistent and that well as I wanted to play," Chakvetadze said. "But I think for the first match in this tournament and the first match on green clay, it was OK. I could do worse."
Sixth-seeded Dinara Safina and No. 7 Agnieszka Radwanska also advanced.