The Adam Dunn waiver process is in its final stages, where whichever team won the claim on Dunn would have 48 hours to trade for the Nationals first baseman. According to a report from the San Francisco Chronicle's Henry Schulman, it's not the Giants.
Schulman wrote this afternoon that the Giants were not awarded their claim on Dunn, which isn't a huge surprise since San Francisco has the third-best record in the NL. He believes it was the Dodgers, who could be trying to get Dunn for themselves or simply block the Giants from landing him in a trade.
The Nationals had strong interest in Dodgers starter Chad Billingsley last winter, though it's unlikely Los Angeles would part with the right-hander, who just had a 25-inning scoreless streak snapped. And depending on where we are in the process (when the claiming team was awarded a 48-hour window to trade with the Nationals for Dunn), time could be just about up.
If Dunn isn't dealt to whichever team was awarded its claim on him, he is staying in Washington through the end of the season. That was always the likely scenario after July 31, and still is now.