The victory moved second-placed Bayern, who take on Celtic in the Champions League next week, up to 17 points, two behind Dortmund who suffered their first home loss in 41 league matches.
Argentine Dybala has scored seven goals in four games for Juventus this season, including a hat-trick against Genoa in Serie A on August 26.
Barcelona goalkeeper Marc-Andre ter Stegen is wary of the danger posed by Juventus forward Paulo Dybala ahead of their opening Champions League Group D clash on Tuesday.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
The 40-year-old former Italy forward confirmed the end of his playing career after a remarkable 25 years at his only professional team.
News of all that's transpired on and off the football field
A summary of sports events and sports persons, who made news on Tuesday
Francesco Totti brought down the curtain on a remarkable 25 years at his only professional club on Sunday.
"From Monday, I'm ready to go again. I'm ready for a new challenge," said Totti on his Twitter feed.
A summary of results from matches played in the Italian Serie A and Ligue 1
A round-up of the top-flight football matches played across Italy and Germany on Sunday
An estimated 10,000 Napoli supporters, including the team's most famous player Diego Maradona, are expected to make the trip to the Spanish capital for the first competitive meeting with Real Madrid since the 1987.
Borussia Dortmund beat Hertha Berlin 3-2 on penalties to reach the German Cup quarter-finals on Wednesday after the match finished 1-1 after extra time.
A spectacular piledriver from Juan Cuadrado gave Serie A leaders Juventus a 1-0 win over Inter Milan, ending a run of seven successive Serie A wins for their opponents in a pulsating end-to-end match on Sunday.
Gonzalo Higuain pulled one back three minutes later with a typically opportunist goal, the Argentine's 13th in the league this season, to set up a tense final half hour.
Barcelona's Lionel Messi rescued a 1-1 draw at Villarreal with a sensational late free-kick on Sunday but could not prevent the champions finishing the weekend third in La Liga, five points behind leaders Real Madrid.
Draxler makes PSG debut as holders advance into French Cup last 32
Juventus striker Gonzalo Higuain again showed his killer instinct with two expertly-taken goals in a late 3-1 win at Torino after their less illustrious neighbours had scored first and dominated the Serie A game on Sunday.
Genoa blew away Serie A leaders Juventus on Sunday, scoring three times in an astonishing first half hour on the way to a pulsating 3-1 win.
Inter Milan's Ivan Perisic scored with almost the last kick of the game to snatch a 2-2 draw against AC Milan in Serie A under new coach Stefano Pioli after their neighbours twice led through Suso in Sunday's derby. Perisic turned the ball in at the far post to spare the blushes of his captain Mauro Icardi who had missed two simple chances which could have changed the course of the game. Antonio Candreva also scored a spectacular goal for Inter who made an encouraging start after Pioli was appointed last week with Frank de Boer having been fired after 85 days.
RB Leipzig continued their remarkable first season in the Bundesliga when they brushed aside Mainz 05 3-1, their fifth win in a row, to go level on points with leaders Bayern Munich on Sunday.
'But I want to be Giovanni and nothing more. It is not easy to live with his greatness. That's why I have to become stronger than him. I have to prove that, if I'm here, it's only because of me'
Napoli suffered their first defeat of the season on Sunday when they lost 1-0 at lowly Atalanta while Serie A leaders Juventus surged on with a 3-0 win at Empoli, helped by a Gonzalo Higuain brace.
Champions Juventus returned to the top of Serie A with a 4-0 home rout of Cagliari on Wednesday, while former leaders Napoli dropped to second after being held to a goalless draw at Genoa.
AC Milan beat visitors Lazio 2-0 to claim consecutive Serie A wins for the first time since February thanks to Carlos Bacca's fifth goal of the season and an M'Baye Niang penalty on Tuesday.
Veteran Francesco Totti scored a stoppage-time winner from a penalty in his first appearance of the season as Roma beat Sampdoria 3-2 in Serie A on Sunday. The 39-year-old former Italy international has now scored in 23 consecutive league seasons for Roma. Sunday's goal lifted the team to within two points of early leaders Juventus, who defeated Sassuolo 3-1 on Saturday.
Kosovo were given permission to field former Albanian internationals Samir Ujkani and Alban Meha and ex-Norway player Valon Berisha on Monday, hours before their first-ever competitive international.
Italy manager Antonio Conte named his provisional squad for the European Championship on Monday, and his selection was notable as much for the player he left off as for those he chose.
Napoli striker Gonzalo Higuain and evergreen AS Roma forward Francesco Totti lit up Serie A on Monday as the two teams won in contrasting fashion to boost their bids for an automatic Champions League spot.
AS Roma stalwart Francesco Totti came off the bench with four minutes left and scored twice to give his Champions League-chasing side a dramatic 3-2 win over Torino in Serie A on Wednesday.
Uruguay striker Luis Suarez is set to play his first competitive international later this month since being banned for biting an opponent at the 2014 World Cup after he was called up on Friday for qualifiers against Brazil and Peru.
Napoli maintained their two-point advantage at the top of Series with a 2-0 victory at Lazio on Wednesday in a game suspended due to racist chanting as Juventus beat Genoa 1-0 to break a club record for consecutive league wins in a single season.
Fiorentina coach Paulo Sousa was involved in one of the oddest dismissals of the season on Sunday when he was sent off against Genoa for intercepting the ball while it was still in play.
AC Milan scraped a 1-0 win over third tier Alessandria thanks to a Mario Balotelli penalty, his first goal for four months, in the first leg of their Coppa Italia semi-final.
Inter Milan's Serie A title hopes suffered a setback as they conceded a stoppage-time equaliser and were held 1-1 at home by relegation-threatened Carpi and leaders Napoli swept to a 4-2 win at Sampdoria.
New coach Luciano Spalletti failed to inspire AS Roma as they were held 1-1 at home by bottom club Verona on his debut on Sunday and Juventus notched their 10th Serie A win in a row by hammering Udinese 4-0 away.
Napoli thrashed Frosinone 5-1 away to go top of Serie A on Sunday after previous leaders Inter Milan were sunk by a Domenico Berardi penalty in the fifth minute of injury time in a 1-0 home defeat against modest Sassuolo.
Champions Juventus continued their resurgence by beating Hellas Verona 3-0 at home for an eighth successive Serie A victory as Inter Milan remained top after winning 1-0 at Empoli.
Inter Milan's lead at the top of Serie A was cut when they lost 2-1 at home to Lazio on Sunday while AS Roma beat Genoa 2-0 to record their first win in eight games and ease the pressure on under-fire coach Rudi Garcia.