An early goal from Demba Ba set the tone for the rest of the game, as a much-changed Blues side kept their fourth clean sheet of the Champions League campaign.
The game lacked intensity and a real premium of clear-cut chances, but Jose Mourinho won't mind, as he avoids the likes of Real Madrid and Barcelona in the next round.
Steaua go crashing out of the group stage without a win, and it will be a case of "better luck next year" for Laurentiu Reghecampf's men.
Here are some points of the game that we can take a look at after Chelsea sealed their progress at Stamford Bridge.
*All statistics, unless stated, are provided by WhoScored.com.