Bayern Munich continued their unbeaten start to the Bundesliga season with a 2-0 win over Freiburg on Tuesday night.
Mainz's winless run in the Bundesliga stretched to eight games as they came away from Cologne with just a point.
Schalke suffered their first home defeat under Roberto Di Matteo as Cologne claimed a precious 2-1 win.
Bayern Munich remain seven points clear at the top of the Bundesliga after a 1-0 home win over Bayer Leverkusen.
Augsburg moved into contention for a Champions League berth next season with a 2-1 win at Cologne.
Bayer Leverkusen turned it on in the second half to claim a 5-1 victory in the Rhineland derby against Cologne.
Bayern Munich marched 10 points clear in the Bundesliga after a 1-0 success at Hertha Berlin on Saturday.
Hertha Berlin moved above Borussia Dortmund and away from the bottom three of the Bundesliga thanks to a win over Cologne.
Bayern Munich won to move seven points clear in the Bundesliga as a Werder Bremen win sent Borussia Dortmund bottom.
Cologne came from behind and responded to being pegged back by beating Hoffenheim 4-3.
Borussia Monchengladbach ended Hoffenheim's unbeaten in the Bundesliga on Sunday, while Freiburg beat Cologne.
Freiburg picked up their first win of the season by defeating Cologne 1-0 at the Mungersdorfer Stadion.
Borussia Dortmund progressed through to the last 16 of the DFB-Pokal with a 3-0 victory at St Pauli.
Werder Bremen coach Robin Dutt suffered another blow after they were beaten 1-0 at home by Cologne on Friday night.
Mario Gotze and Philipp Lahm hit braces as Bundesliga leaders Bayern Munich romped to a 6-0 victory over Werder Bremen.
Cologne piled further misery on Borussia Dortmund with a 2-1 win which leaves Jurgen Klopp's men in 14th place.
Eintracht Frankfurt are fifth in the Bundesliga table after a 3-2 victory over Cologne on Saturday.
Bayern Munich extended their lead at the top of the Bundesliga to two points with a 2-0 triumph at Cologne.
Hannover moved up to third in the Bundesliga thanks to a 1-0 win over Cologne.
Wolfsburg bounced back from their humbling at the hands of Everton on Thursday by beating 10-man Bayer Leverkusen.
Why new Sky Sports pundit Thierry Henry is the greatest ever Premier League forward.