Linköping accounted for an impressive pick-up when they went from 0-3 in the middle of the second period to the 3-3 second half of the match.
The equalizer came with seven minutes left of the match through Jesper Pettersson who intercepted a return and slammed in the 3-3 goal.
The result stood out the match and Linköping thus secured the season's first points.
After a goalless extra time, the match was decided on penalties.
Only in the sixth round was it clear that Linköping is pinching the extra points.
This after Henrik Törnqvist, with a distinct penalty, netted and Leksand's Jonas Ahnelöv missed.
For table-toppers Linköping, who started the SHL season with three straight losses, it was the season's first victory.