Roma topped the group while Atletico finished third and drop into the Europa League in the new year.
The draw is Monday in Nyon.
Atletico must win if they are to have any chance of qualifying, and even then, their fate will be determined by Roma's result.
But the visitors were in the lead three minutes later as Koke sent in a corner kick that was expertly headed on by Fernando Torres to Saul, who could not miss. In the attack, Hazard should start behind lone center forward Alvaro Morata.
The hosts have already qualified for the knockout stage, but they'll want to ensure they finish top of the group.
Unos 50 heridos en un choque de trenes en Alemania
El más reciente reporte del departamento de bomberos precisa que había aproximadamente 150 personas en el tren de pasajeros . El hecho se registró en una pequeña ciudad de Meerbusch , en Renania del Norte-Westfalia, la región más poblada de ese país.
"When the moment comes to talk I'll be here, ready for it. It's not the right time, it's time to focus on Chelsea, keep playing well and deliver points".
Chelsea then enjoyed a purple patch with Andreas Christensen heading straight at Oblak before Hazard's shot was deflected over the bar and Morata's header was kept out by the Atletico goalkeeper. The defender is sidelined with a knee injury. Since the 2:1 defeat against Chelsea in the second round of the UEFA Champions League, Atleti are unbeaten for 13 games in a row, recording six wins and seven draws in the process.
Willian had an opportunity to net a winner when the ball came to him in the closing stages, but he mis-hit it high and wide. Antoine Griezmann is also the team's best assist-maker with five dishes on his account, while the winger Yannick Carrasco made four dishes in 16 matches this season, also adding three goals to his name.
Boss Diego Simeone insists Atletico's sole focus will be on beating Chelsea.
"I'm very young. I really mean it. Especially how I play, the position, you can go for many more years, I can tell you many cases", Fabregas said.