A report on the BBC says that, according to a "source close to the development team", a few companies are showing interest in picking at the corpse of the game, seeing if there's a pocket watch or gold filling to be had. One of the those companies is Epic Games, the studio behind one of the industry's most popular graphics engines (and the Gears of War and Unreal Tournament series).
Adding to this speculation is a Eurogamer report, citing a "Dundee development source" (Realtime were based in Dundee, Scotland) that says "[Realtime boss] Dave Jones and Epic is quite the talking point in town. He and Mr Rein are good chums and have worked together on many levels for years and years and years. And he's not going to raise much money/staff here in the near future."
Eurogamer also report that Jones recently moved to the US.
Being both catastrophically unpopular and lacking in any real memorable hook, it's tough imagining why Epic would want the rights to APB. Unless they just like the name!