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Arsenal did not get very far in last year;s Champions League. They were eliminated in the Group stage itself.
Last game for the Chapions League, in October 2008, was 4-0 for Arsenal
Alexander Hleb scored the winning goal in Arsenal's 2-1 victory when they last met Fulham.
Yes, Arsenal did make it to the round of 16 for this champions league this year. They are currently scheduled to play Bayern Munich on February 19, 2013.
Arsenal did but no London club has reached it.
Yes they can. In fact Ajax Amsterdam did it this year (2010/2011 Season). They where elimanted in the group stage of the Champions League and made the last 32 of the Europa League (as of today, they can still go further).
Tottenham last competed in the Champions League in 2010-11. They qualified for the 2012-13 Champions League, however were placed in the Europa League as a result of a UEFA technicality
Liverpool's last away win at Arsenal was the 0-1 victory at Highbury in the Premier League on 13-Feb-2000.
No-one Arsenal won 2-1 at Anfield. Lat year Arshevin scored 4 for Arsenal in a 4-4 draw at Anfield.