Bayern Munich rode their luck to come away with their second win in as many games and remain in a share of top spot in the Bundesliga after beating Eintracht Frankfurt 1-0.
Mario Mandzukic's 13th-minute strike was enough for Pep Guardiola to follow up his maiden home win as Bayern boss with his first away victory, although the home side were unfortunate to have a goal disallowed before half-time.
Dominant in the possession stakes, Bayern also carved out some good early chances before Mandzukic put them in front in the 13th minute, turning Thomas Muller's cross in from six yards out.
• Schaaf: Bayern squeaks past Frankfurt
Bayern also had a goal disallowed in the second half and missed several chances to make it a more comfortable win as they were made to sweat until the final whistle.
Wolfsburg scored four second-half goals to dampen Schalke's preparations ahead of their Champions League play-off with PAOK FC on Wednesday, thrashing their visitors 4-0.
Robin Knoche, Vieirinha, Naldo and Stefan Kutschke scored the goals for Dieter Hecking's men as they dismantled the Royal Blues at the VW-Arena.
Schalke had just one really good chance in the first half, but capitulated under the pressure in the second 45 minutes, going down to a defeat which leaves them with just a point from their first two games of the Bundesliga campaign.
Roberto Firmino scored twice and set up his side's other three goals as Hoffenheim inflicted a heavy 5-1 home defeat on Hamburg.
Firmino put the visitors in front after just five minutes with Rafael van der Vaart levelling from the penalty spot just before half-time.
Kevin Volland gave Hoffenheim the lead again early in the second half before Anthony Modeste grabbed a brace and Firmino supplied the finishing touch to an emphatic win for Markus Gisdol's men.
A Daniel Schwaab own goal condemned Stuttgart to a second straight defeat, 1-0, and gave Bayer Leverkusen a second consecutive win at the start of the season.
Schwaab turned the ball into his own goal in the 42nd minute and Leverkusen subsequently defended their lead stoutly to claim the victory.
Werder Bremen picked up their second straight 1-0 win to continue their perfect start to life in the Bundesliga under new coach Robin Dutt at home to Augsburg.
Mehmet Ekici's fourth goal for the club was enough to keep them in a share of top spot and leave Augsburg languishing near the bottom with two defeats from two and no goals yet to show for their efforts this season.
However, like a week ago in Braunschweig, Bremen were fortunate to come away with all three points and they will be happier with the result than their performance.
Borussia Monchengladbach bounced back from defeat on the opening day of the season by picking up their first three points with a 3-0 victory over Hannover.
Max Kruse, Christoph Kramer and Filip Daems all scored for Lucien Favre's men as Hannover were given short shrift at the Borussia Park Stadion.
Niki Zimling and Nicolai Muller earned Mainz their second win of the Bundesliga season, winning 2-1 at Freiburg.
Zimling put Thomas Tuchel's men in front in the 64th minute with Muller scoring his second goal in two games moments later. Sebastian Freis gave Freiburg some hope with an almost immediate reply, but the visitors held on for victory as the hosts searched in vain for an equaliser, leaving gaps which Mainz very nearly exploited.