The Gunners beat the Turkish side 3-0 Istanbul last week before recording a 2-0 victory at the Emirates Stadium on Tuesday night thanks to a brace from Aaron Ramsey.
The Welshman scored in the 25th and 72nd minute as Arsene Wenger's side won 5-0 on aggregate to secure their position in the initial 32 of Europe's premier club competition.
In Switzerland, FC Basel were able to get past Bulgarian side Ludogorets Razgrad with a 2-0 home triumph allowing them to move through 6-2 on aggregate whilst German club Schalke avoided a Greek tragedy by scoring a late goal to beat PAOK 4-3 over the two legs.
Steau Bucharest's two early goals at Legia Warsaw gave them an overall away-goal victory as they tied 3-3 with the Poles following the 1-1 draw in Romania last week whilst Dinamo Zagreb produced a 3-2 away win over Austria Vienna but it wasn't enough to progress with the home side managing to get through 4-3 on aggregate.
2013/14 UEFA Champions League qualifiers
Austria Vienna (AUT): 2 (Florian Mader 5', Roman Kienast 82') Dinamo Zagreb (CRO): 3 (Marcelo Brozovic 34', Junior Fernandes 43', Fatos Beqiraj 70', red card: El Arbi Soudani 90+2') Austria Vienna wins 4-3 on aggregate
Legia Warsaw (POL): 2 (Miroslav Radovic 27', Jakub Rzezniczak 90+4') Steaua Bucharest (ROM): 2 (Nicolae Stanciu 7', Federico Piovaccari 9') Steaua wins on away goals after 3-3 aggregate