Under "General" there are two options which "remember":
"Remember last movie position" and "Remember movie settings"
If you select "Remember last movie position" BSPlayer will resume movie from where you left it. The procedure is as follows:
When you wish to temporarily exit a movie played on BSPlayer, press [Pause] (
not [STOP]) and then [Exit].
Next time you start BSPlayer (and - of course - provided the moviefile is still in the same place where it was when you left playing it) it will automatically resume playing from the point where you left the movie.