Updated

's-Hertogenbosch, The Netherlands (Sports Network) - Former champion Kim Clijsters was an easy second-round winner Tuesday at the $220,000 UNICEF Open, a final Wimbledon tune-up.

The unseeded former world No. 1 star blew past Ukrainian Kateryna Bondarenko 6-1, 6-2 in 67 minutes on the grass courts at Autotron Rosmalen.

The four-time Grand Slam champion Clijsters, who captured this Dutch event in 2003 and was the runner-up in 2001, returned to action this week after being sidelined since March due to a hip injury.

The 29-year-old Clijsters has said that she will retire from the WTA, for a second time, following this year's U.S. Open.

Another former No. 1 wasn't as fortunate on Day 3, as seventh-seeded Jelena Jankovic lost her second match in two days, in two different countries. Swede Sofia Arvidsson doused the Serbian star 6-2, 3-6, 6-4 in an opening-round affair in Den Bosch just one day after Jankovic was upset by 208th-ranked American Melanie Oudin in a final in Birmingham, England.

Jankovic was the runner-up at this Dutch event back in 2007.

Another runner-up from last week also suffered a first-round upset on Tuesday, as Belgian Yanina Wickmayer, fresh off her championship match appearance in Bad Gastein, Austria, gave way to little-known Russian qualifier Daria Gavrilova, 6-1, 6-2. Wickmayer was the 2009 runner-up in Den Bosch.

In other second-round action on Tuesday, third-seeded Slovak Dominika Cibulkova beat Israeli Shahar Peer 6-2, 7-6 (7-5), Polish qualifier Urszula Radwanska upended fourth-seeded Italian Flavia Pennetta 6-1, 6-1, and eighth- seeded Russian Nadia Petrova dismissed Spaniard Anabel Medina Garrigues 7-5, 6-3. Cibulkova and Petrova will square off in a quarterfinal here on Thursday.

In some more second-round play on Wednesday, sixth-seeded and defending champion Roberta Vinci of Italy will take on Romanian Monica Niculescu and former French Open champ Francesca Schiavone of Italy will battle Romanian Irina-Camelia Begu. Vinci beat Aussie Jelena Dokic in last year's UNICEF finale.

The 2012 champion here will collect $37,000.