The home side were then punished when Eduardo turned the ball in with his knee from close range from a Fabregas corner.
Olympiakos also enjoyed victory in the group, a goal from Vassilis Torosidis giving them a 1-0 win over visiting AZ Alkmaar.
Bundesliga side VfB Stuttgart were held 1-1 by Glasgow Rangers in Group G. Madjid Bougherra grabbed a 77th-minute equalizer for the Scottish visitors who enjoyed a strong second half after Russian striker Pavel Pogrebnyak opened the scoring in the 18th minute.
Stuttgart coach Markus Babbel said: 'The first half was good we controlled the opponents and created chances. Unfortunately we couldn't get the second goal.
'In the second half we only reacted. We were chasing the ball and were not active enough. We have to learn from these mistakes.'
In the same group, Luis Fabiano goal just before half-time and a Dirnei Renato header 20 minutes from time earned Sevilla a 2-0 win over Romanian outfit Unirea Urziceni.
Italy striker Alberto Gilardino was sent off just before half-time for an elbowing incident as Fiorentina slipped to a 1-0 defeat in Group E at Olympique Lyon whose winner came from Miralem Pjanic in the 77th minute.
Dirk Kuyt was on target just before half-time as Liverpool struggled to overcome Hungarian champions Debrecen in the same group.