In the 56th minute Aubameyang doubled Chelsea’s lead as he turned home James’ cross.
James then got on the score sheet on 62nd minute to make it 3-0.
In Group G, Erling Haaland continued his impressive form in front of goal, as he bagged a brace in Manchester City’s 5-0 win against Copenhagen at the Etihad.
City have now won all their three games in the group and seat top of the group.
And in other results at the Bernanbeu holders Real Madrid pipped Shakhtar Donetsk 2-1, Dortmund hammered Sevilla 4-1 away, Celtic lost 3-1 at RB Leipzig, Salzburg beat Dinamo Zagreb 1-0, PSG held Benfica 1-1 and Juventus defeated Maccabi Haifa 3-1.