Mainz moved up to fifth place in the Bundesliga after beating Darmstadt 3-2 at the Bollenfalltor.
Robert Lewandowski carved his name in history with a double for Bayern Munich, while Schalke drew level with Dortmund.
Dortmund lost ground on Bayern Munich at the top of the Bundesliga on as they dropped points for the first time this season.
Schalke and Werder Bremen made moves up the Bundesliga on Sunday with wins over Mainz and Hoffenheim, respectively.
Thomas Muller struck twice as Bayern Munich beat Bayer Leverkusen 3-0 in the Bundesliga on Saturday, as Eintracht Frankfurt thrashed Stuttgart 4-1.
Borussia Dortmund are top of the Bundesliga after a 4-0 win over Ingolstadt, while Borussia Monchengladbach slumped to the bottom.
Edinson Cavani will miss Uruguay's World Cup qualifiers against Bolivia and Colombia after being handed a two-game ban.
Leicester have agreed a deal with German club Mainz for Japan international striker Shinji Okazaki.
Bayern Munich will host Hamburg on the opening weekend when the 53rd Bundesliga season gets under way on August 14.
Chile's Gonzalo Jara has incurred the wrath of club side Mainz following his controversial actions at the Copa America.
Schalke have completed the signing of Germany U21 international Johannes Geis from Mainz on a four-year deal.
FC Tokyo striker Yoshinori Muto says he opted to join Mainz over Chelsea as he felt the German club "fits his level".
Mainz have announced the signing of Japan striker Yoshinori Muto on a four-deal from FC Tokyo.
Bayern Munich celebrated their third straight Bundesliga title by beating Mainz 2-0 at the Allianz Arena.
Liverpool give U21s more game time than Premier League rivals but top flight lags behind Europe.
Mainz ensured their place in the Bundesliga next term with a 2-0 win over Cologne, who guaranteed their safety a week ago.
Stuttgart picked up a crucial 2-0 win over Mainz on Saturday evening to keep their survival hopes alive.
A late Gojko Kacar goal lifted Hamburg out of the bottom three with a 2-1 victory at Mainz.
Borussia Monchengladbach moved back into third place with a 2-1 win at Hertha Berlin, while Hamburg saw off Mainz.
Mainz dealt Schalke's Europa League qualifying hopes a blow while boosting their own with a 2-0 win.