The London team, with Magdalena Eriksson from the start, still tops the group - three points ahead of both Juventus and Wolfsburg.
And with that, a real thriller awaits next week when the CL group game ends.
Wolfsburg's 3-0 victory over the punching bag Servette earlier on Wednesday night meant that Chelsea had to win the meeting with Juventus to pinch a playoff spot already tonight.
The home team also came closest to a victory but Sam Kerr, who had the hottest situations, never got a hole in a big-playing Pauline Peyrayd-Magnin in the Juventus goal.
The match ended goalless instead, and thus all three Swedish teams have the chance to reach the playoffs.
Chelsea captain Magdalena Eriksson played 90 minutes, while Juventus' Lina Hurtig was substituted in the 77th minute.