Just tested with a 2CD-XviD-version of a movie in a playlist.
Under OSD options I selected "Movie time/remaining time".
Then I started the first file, depressed [i] and then dragged the progress bar to about a minute or so towards the end of the first part and then .... sat back and waited.
When the first part ended and BS.Player automatically continued with the second part it kept showing the OSD-info (well in fact it started showing the info for the second file actually playing, of course).
Also, if I manually load a next video, BS.Player continues showing the selected OSD-info.
Do you want something different?
What version/build of BS.Player are we talking about?