Northern Irish champions Linfield could play Steaua Bucharest if they beat Gorica of Slovenia in the first qualifier.
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Steaua coach Ilie Dumitrescu was unconcerned by Hodgson's team selection but believes the scoreline was harsh on his side.
The Spanish side then won the penalty shootout to advance to the final, where it was beaten by Steaua Bucharest.
Swindon, who opened with a 2-2 draw against Steaua Bucharest, finish their tour with a match against FC Zlin on Tuesday night.
Former European champions Steaua Bucuresti were held 0-0 at home by Moldovan newcomers FC Sheriff in a match played behind closed doors.
If Gerrard is sidelined for four weeks he will miss matches against West Ham, Tottenham, Steaua Bucharest, Aston Villa, Newcastle and FC Utrecht.
Liverpool had an unkind draw too, the Reds put into Group K along with Romania's Steaua Bucharest, Italy's Napoli and Utrecht of the Netherlands.
It ensured that Motherwell will face Steaua Bucharest in the next round in a week's time after the Romanians beat Hungarians Ujpest after two 2-1 wins.
And after limping through against lowly Sparta Prague of the Czech Republic in the last round, they sank to 1-0 defeat in Romania to Steaua Bucharest in the first leg of their tie.
In Group H , Fenerbahce went top on six points with their second victory by winning 1-0 away to Romania's Steaua Bucuresti as striker Kazim Kazim scored the only goal in the 58th minute.
Joe Cole put the Reds ahead and, while Cristian Tanase equalised for Steaua, Lucas Leiva powered in a long-range strike sandwiched in between two David Ngog goals to wrap up a win for the Merseysiders.
Babel was reportedly close to leaving Merseyside in the summer but he set up Milan Jovanovic's goal in the 1-1 draw at Steaua Bucharest last week and kept his place against Villa when Torres pulled out.
Since the tournament was rebranded for the 2009-10 season, 20 former Champions League winners have taken part in the group stage, including five in this year's field: Liverpool, Inter Milan, Olympique Marseille, PSV Eindhoven and Steaua Bucharest.
Despite seeing his side hit form midweek with a 4-1 win against Steaua Bucharest in the Europa League, Hodgson has demanded an improvement in league form, particularly on the back of a disappointing goalless draw with Birmingham last week.
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