After Thiago fired home early on, an own goal by Besiktas right-back Gokhan Gonul put Bayern 2-0 up right at the start of the second half. - Jupp Heynckes is the first manager in Champions League history to win 11 consecutive games.
Bayern entered the second leg of the last-16 tie boasting a 5-0 advantage from their clash at the Allianz Arena last month.
"Besiktas hadn't lost here in the Champions League, so it wasn't easy".
Bayern mustered 35 shots in the first leg, the highest total by the German side in a Champions League knockout game that didn't go to extra time (since 2003/04).More news: Anti-Muslim Hate Group Trump Retweeted Receives Permanent Facebook Ban
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Nevertheless, Lewandowski played until the 67th minute, but failed to add to his 32 goals this season in all competitions.
With 18 minutes gone, Bayern captain Thomas Mueller swung in a cross and the Spain worldwide thumped the ball home from close range.
Besiktas gave their fans something to cheer in the 59th minute, Alaba losing the ball in his own half, with Gonul setting up Love to squeeze the ball past Jerome Boateng on the line.
James Rodriguez passed up a good opportunity to score Bayern's third in the 76th minute when he missed the post with a powerful strike, but the visitors did take a 3-1 lead in the 84th minute when Sandro Wagner converted from close range.