The Korean team was runner-up to Japan in 2009 during the last Classic, while The Netherlands surprised, twice beating the Dominican Republic to emerge from pool play.
The Nationals have two other players -- Minor Leaguers Robbie Cordemans and Randolph Oduber -- also playing for the Dutch, though neither of them saw action on Saturday. Bernadina is one of a handful of talented bench players expected to contribute for the Nats this season.
In other World Baseball Classic news, former Washington pitcher Chien-Ming Wang threw six shutout innings for Chinese Taipei in its 4-1 win against Australia.
Wang battled hip and hamstring issues while with the Nationals last season, finishing with a 2-3 record and 6.68 ERA in 10 games (five starts). He has spent the last two seasons with the Nats, but hasn't signed with a Major League club for 2013.
"He had the arm strength last year, he was just having a little difficult picking the right slot and getting the ball consistently down," Nationals manager Davey Johnson said. "I know he's a hard worker."