Casa Arabe is committed to being a meeting point between Spain and the Arab world
Having hammered both Legia Warsaw and Darmstadt 6-0 in their previous matches, Thomas Tuchel's Dortmund handed out another drubbing with Gonzalo Castro setting up two of their goals.
"Despite going 2-0 up early on, we were still made to suffer, but we got a grip and took our chances," said Tuchel.
"It's an unbelievable result, which we worked hard for, and we're very happy."
The thrashing left Dortmund top on goals scored, with nine points from a possible 12, but they will lose the lead on Wednesday when Bayern Munich host Hertha Berlin.
The only teams still with 100 per cent records meet at Munich's Allianz Arena as Hertha chase their first league win in Bavaria since 1977.
It was another bad night for Wolfsburg, who have won only once in four games so far, and new signing Mario Gomez. The Germany striker has yet to score since joining from Fiorentina and was repeatedly denied by Dortmund goalkeeper Roman Burki. "Our conversion of chances wasn't good enough, we had five top chances in the first-half," Gomez told Sky.
Casa Arabe is committed to being a meeting point between Spain and the Arab world
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