It was the ninth consecutive victory for Dortmund in all competitions this season and showed they had put last season's disappointing performances behind them.
It compounded a woeful few months for the club as coach Julen Lopetegui came and went before former player Santiago Solari replaced him in November. They sat sixth in La Liga and appeared a team in decline, sorely missing forward Cristiano Ronaldo, who left for Juventus last summer.
Champions League holders Real Madrid will face former European champions Liverpool, FC Basel and debutants Ludogorets of Bulgaria following the group stage draw on Thursday.
Barcelona forward Lionel Messi equalled the Champions League scoring record of 71 goals when he struck for the second time in the 76th minute of Wednesday's Group F match at Ajax Amsterdam.
Late Griezmann strike ends Atletico's away day hoodoo
Manchester United are optimistic ahead of a crucial period of fixtures as they are close to finding their best form, midfielder Ander Herrera said ahead of Sunday's top of the table showdown against Premier League leaders Manchester City.
News of all that's transpired on and off the football field
Ruthless Bayern Munich scored five goals in the first 35 minutes on the way to a 7-1 demolition of AS Roma on Tuesday which bore an uncanny resemblance to Germany's win over Brazil by the same score in the World Cup semi-final.
VfL Wolfsburg reached the Champions League last 16 and dealt a knockout blow to Manchester United with a 3-2 victory to claim top spot in Group B and condemn their opponents to the Europa League on Tuesday.
Bayern Munich defender Jerome Boateng returned to haunt his former club with a last-gasp goal that secured a 1-0 win over English title holders Manchester City in their opening Champions League Group E clash on Wednesday.
A summary of all the Champions League matches played across Europe on Tuesday
Real Madrid got their Champions League title defence off to a strong start on Wednesday by convincingly beating AS Roma 3-0 at home with goals from Isco, Gareth Bale and a stoppage-time strike from returning striker Mariano Diaz.
The three teams with 100 percent records in this season's Champions League can secure their places in the knockout stage this week with two games to spare.
Manuel Pellegrini shrugged that he was "not worried about Chelsea" despite seeing his Manchester City team fall further behind the Premier League leaders at the end of a dispiriting week for both the Chilean and his champions.
Cristiano Ronaldo set a record for goals scored in the group stage of the Champions League of 11 when he netted four against Malmo in Group A on Tuesday.
Leicester City added another tale of remarkable success to an incredible year by reaching the last 16 of the Champions League in their debut season with a 2-1 victory over Club Bruges.
Zlatan Ibrahimovic and Cristiano Ronaldo come face-to-face next month when Sweden meet Portugal in a World Cup playoff and they sharpened their claws with six goals between them on a thrilling night of Champions League action on Wednesday.
Photos from the UEFA Champions League matches played across Europe on Wednesday
(Reuters) - Real Madrid, Manchester United and Paris St Germain reached the last 16 of the Champions League on Wednesday on a night when the goals flowed all over Europe with United the highest scorers in a 5-0 win at Bayer Leverkusen.
Barcelona must to wait to confirm a place in the Champions League last 16 after dropping points for the first time in Group D in an absorbing 0-0 draw at Olympiakos Piraeus on Tuesday.
A summary of Wednesday's group matches in the UEFA Champions League.
Ahead of the UEFA Champions League proper, which kicks-off next month, Bikash Mohapatra/Rediff.com tells football fans what to expect in this year's competition.
There will be plenty of tension in the air in North London on Wednesday when out-of-sorts Arsenal face Borussia Dortmund seeking to qualify from the Champions League group stage for the 15th successive season.
Images from the UEFA Champions League matches played on Tuesday night.
Images from Tuesday night's UEFA Champions League group stage matches.
Photos from the Champions League matches played across Europe on Tuesday.
Photos from the Euro 2016 qualifying matches played on Sunday.
Photos from the Champions League matches played across Europe on Tuesday
Kazakhstan's Astana fought back to beat a youthful Manchester United side 2-1 at home, Arsenal's woes continued as Frankfurt's Daichi Kamada scored twice to secure a 2-1 win.
A summary of Wednesday's matches in the UEFA Champions League.
Merseyside Police is reportedly investigating racist abuse received by Liverpool striker Mario Balotelli on Twitter after he tweeted 'Man Utd...LOL' after the crushing 5-3 defeat met by Manchester United at the hands of Leicester on Sunday.
World champions Germany drew 1-1 with Spain in a high tempo friendly on Friday as they launched their preparations for a title defence in Russia while their opponents had striker Diego Costa making his long-awaited comeback as a substitute.
News of all that's transpired on and off the football field
Images from Champions League matches played across Europe on Tuesday
IMAGES from the Champions League matches played on Tuesday
News of all that's transpired on and off the football field
