Cibulkova seemed on the verge of beating Urszula Radwanska in straight sets, leading 62 43 and having a point for 62 53 - but Radwanska hung around and eventually beat the World No.15, 26 64 64.
"It was a tough match, and I made it tough for myself," Cibulkova said. "I was up 62 43 and a break point and I was playing really well, but all of a sudden I changed the way I was playing and after that it just wasn't the same. But there are positives from the match I can draw on - the way I played the first set and a half is something I have to be confident about and I know the mistakes I made today.
"I'll go to the next tournament knowing I'm playing well."
Cibulkova's week wasn't all bad, though - on Monday she was in Istanbul to announce tickets going on sale for the TEB BNP Paribas WTA Championships - Istanbul 2013, and she got her own stamp.
"The launch of the WTA Championships was really great and I was excited to go there," Cibulkova said of her trip to the historic Turkish city. "It was really nice to spend some time with Stacey, as well.
"And after the launch I got my own Turkish stamp, so that was really exciting!"
Rounding out the winners were Francesca Schiavone, Kaia Kanepi, Monica Niculescu and qualifiers Galina Voskoboeva and Estrella Cabeza Candela. Schiavone had a unique situation on her hands, taking on Lourdes Domínguez Lino - the two had just played in the final of the Grand Prix SAR La Princesse Lalla Meryem in Marrakech two days earlier. Schiavone won that one, 61 63 - she had to go a further distance to win this one but she did, grinding it out in two hours and 15 minutes, 62 46 63.