A Mario Gotze double helped Bayern Munich to a comfortable 4-1 win at Hamburg that significantly dents the hosts' Bundesliga survival hopes.
Bayern went into the contest on the back of a chastening 5-0 aggregate UEFA Champions League semi-final defeat to Real Madrid, but Hamburg were unable to capitalise on the visitors' deflated mood.
Mirko Slomka's men needed to win to stand any chance of avoiding a bottom-three finish and they produced some encouraging moments early on, but the Bundesliga champions' quality eventually shone through.
Gotze, who is reportedly unhappy at the Allianz Arena, put Bayern ahead just after the half-hour mark to round off a delightful move and Thomas Muller added their second 10 minutes after half-time, deflecting Gotze's shot in.
Former Borussia Dortmund playmaker Gotze got his second with just over 20 minutes left, before Hakan Calhanoglu pulled on back for Hamburg.
However, any hope of an unlikely comeback from the home side were dashed by Claudio Pizarro, who struck 15 minutes from time to restore Bayern's three-goal cushion before Jerome Boateng was sent off late on following an altercation with Hamburg substitute Kerem Demirbay.
Defeat for Hamburg means they can now only finish the season as high as 16th, which would see them face a relegation play-off.
In the wake of Bayern's humiliating Champions League exit, coach Pep Guardiola defiantly defended his football philosophy, and the German champions showed no sign of abandoning their possession-based game in Hamburg.
But despite Bayern's attempt to monopolise the ball, the hosts created the better chances inside the first 20 minutes.
With 11 minutes played, Ivo Ilicevic pounced on Manuel Neuer's skewed clearance before cleverly flicking the ball over Dante and blasting a half-volley into the sidenetting.
Highly-rated Hamburg midfielder Calhanoglu cut in from the left with intent shortly after, but once again Bayern escaped unscathed as the Turkey international fired wide of the right-hand post.
And Bayern duly capitalised on those let-offs in the 32nd minute, as Gotze combined brilliantly with Arjen Robben inside the penalty area, before coolly slotting under Rene Adler.
Hamburg almost levelled just before the break, but Neuer produced a fine save to deny Rafael van der Vaart's half-volley.
Ominously for Hamburg, Bayern began the second half with renewed focus and after Robben won a corner following a devilish run in towards the right-hand post, they doubled their lead.
Robben delivered the set-piece along the floor to Gotze, and the 21-year-old fired through a crowd of players before Muller flicked it past the helpless Adler.
Gotze got his second of the game in the 69th minute as he brought the ball down nonchalantly in the area before confidently converting a half-volley in from close range.
Hamburg's hopes of a late comeback were given some encouragement as Calhanoglu rifled into the bottom-right corner from long range three minutes later.
But Pizarro's audacious over-head kick, which came just two minutes after he replaced Robben, added gloss to the scoreline for Bayern - whose day was marred slightly when Boateng received his marching orders for going head-to-head with Demirbay after the Hamburg man had tried to win a penalty.
|23||R. van der Vaart|
|Coach: M. Slomka|
for D. Diekmeier 60'
for R. van der Vaart 68'
for H. Westermann 76'
|Allardyce paid price for lack of privacy - McClaren|
|Milik can match Lewandowski - Reina|
|LMA ´extremely concerned´ about manager bribe allegations|
|Iwobi: I nearly left Arsenal|
|Mata has found a ´natural habitat´ at United|
|Higuain slowly approaching top form|
|´Stupid´ Allardyce driven by money - Dyke|
|Wijnaldum vows to improve|
|Renato Sanches needs time at Bayern - Hitzfeld|
|Ibrahimovic nurturing United talent - Lingard|
|Mourinho feels sorry for Allardyce|
|United boss primed for ´must-win´ Europa League tie|
|Mourinho keen to protect under-fire Rooney|
|Jeonbuk Motors 4 Seoul 1: Leonardo brace puts hosts in the driving seat|
|Maloney returns to Scotland squad|
|Van Persie: Kids will decide my future|
|Entrapment won on this occasion - Allardyce|
|Ibra-Rashford pairing the answer for United - Neville|
|Tevez hints at imminent retirement|
|England in safe hands with Southgate - Glenn|
|Holman talks up A-League quality|
|CONCACAF Champions League Review: Red Bulls progress, Timbers win|
|Januzaj blow for Sunderland|
|Navas accepts blame for Dortmund equaliser|
|Sporting assistant Raul Jose pleased with win|
|Nuno left to regret slow start as Porto fail on English soil again|
|Simeone: I am not Griezmann´s mentor|
|Vardy rejected Arsenal due to style|
|Schmidt bemoans ´brutal´ Monaco equaliser|
|Ranieri doesn´t trust bookies over England job|
|Genesio worried wastefulness will cost Lyon in long run|
|Preud´homme admits Champions League too much for Club Brugge|
|Telegraph passes findings to FA after further corruption claims|
|Zidane: Draw difficult to accept|
|Pochettino delighted with in-form Son|
|Vietto undeterred by wasteful showing|
|Tuchel: Dortmund can still get better|
|Resilient Leicester display pleases Morgan|
|Glenn reflects on ´painful´ call to dismiss ´distraught´ Allardyce|
|Borussia Dortmund 2 Real Madrid 2: Late Schurrle strike salvages draw|
|Monaco 1 Bayer Leverkusen 1: Glik stunner snatches a point|
|Dinamo Zagreb 0 Juventus 4: Pjanic pilots comfortable victory|
|CSKA Moscow 0 Tottenham 1: In-form Son hits late winner|
|Copenhagen 4 Club Brugge 0: Delaney stunner helps Danish champions canter to victory|
|Sporting CP 2 Legia Warsaw 0: Magiera´s first game ends in defeat|
|Sevilla 1 Lyon 0: Ben Yedder seals win for Europa League holders|
|Leicester City 1 Porto 0: Slimani continues to haunt old foes|
|Shearer: Allardyce has made England a laughing stock|
|Howe, Pardew and Wenger among the contenders to succeed Allardyce|
|Emery´s PSG struggles give Ludogorets hope|
|Allardyce offers ´wholehearted apology´ for England shame|
|Lahm: ´Extraordinary´ Griezmann different to Lewandowski|
|Iniesta is the best in the world, claims Menotti|
|Irregular heartbeat ends Dempsey´s season|
|Bournemouth ´realistic´ over permanent deal for Wilshere|
|Guardiola warns against complacency|
|Allardyce and England part company after damning video|
|De Bruyne out for up to three weeks - Guardiola|
|Luis Enrique demands fast start at Gladbach|
|Ancelotti wary of Atletico threat|
|Al Ain 3 El Jaish 1: Caio capitalises on late error|
|Ter Stegen happy with solution to Bravo battle|
|Emery: PSG need time to gel|
|Hernandez: It was very difficult at Real Madrid|
|Derby stand down Pearson ahead of Cardiff match|
|Rodgers sympathises with ´poor guy´ Allardyce|
|Opponents are trying to get Ribery send off - Hoeness|
|Martino named Atlanta United head coach|
|Rodgers urges Celtic to have belief against City|
|Rodgers has made same impact as Guardiola - Brown|
|Benfica one of the best in Europe, warns Sarri|
|Menotti: Ronaldo never played in a team like Messi´s|
|Walcott happy to move on from Arsenal struggles|
|Champions League Matchday Two: Bayern hunt Atleti revenge|
|Coquelin facing three weeks out|
|Arsenal transfers beyond reproach, says Wenger|
|Schubert extends Gladbach contract|
|Lewandowski urges Bayern to learn from Atletico defeat|
|Griezmann feared Simeone to PSG was ´a done deal´|
|FA investigating Allardyce claims|
|Valencia keep Voro in charge for Atletico clash|
|One of Serie A´s all-time greats: The numbers behind Totti at 40|
|Toure brands FIFA ´complacent´ after racism taskforce closed|
|Emery expects Ronaldo to stay at Real Madrid|
|Tottenham not scared of Moscow trip - Alderweireld|
|Sessegnon signs with Montpellier|
|Rakitic delighted with form|
|Gameiro: I could have joined Barcelona|
|Stones talks up Celtic quality|
|Liverpool good enough to win title - Houllier|
|Klopp happy with Firmino in central role|
|Watford got bullied all over the pitch - Deeney|
|Nuno keen for Porto to end England misery|
|Legia boss Magiera set for whirlwind debut|
|´Terrific´ Burnley delight Dyche|
|Burnley 2 Watford 0: Landmark goals for Hendrick and Keane seal first win in four|
|Schmidt lauds hitman Hernandez|
|Klopp not banking on Liverpool winning title|
|Kroos plays down Ronaldo rage rumours|
|Confidence coursing through Copenhagen|
|Madrid form draws no concern for Zidane|
|Burki looking forward to ´dream´ Madrid clash|
|Juve and Higuain have work to do - Allegri|
|CSKA boss Slutski wary of Tottenham threat|
|Pochettino: Kane to return within three weeks|
|City youngster Diaz signs three-year deal|
|Aurier vows to ´continue working hard´ for PSG despite prison sentence|
|Tuchel expecting Ronaldo on top form|
|Ter Stegen eyes new Barcelona deal|
|Hazard: No excuse for Arsenal defeat|
|Cisse back in training with Auxerre|
|Hummels resumes training ahead of Atletico clash|
|Facing Barcelona´s MSN not a nightmare, insists Bravo|
|Thiago: Atletico defence best in the world|
|Alonso wants to end career at Bayern Munich|
|Ranieri went to Slimani for Porto advice|
|Draxler: Wolfsburg blocked my exit|
|Samoura defends abolishment of racism task force|
|Sampaoli backs Nasri for France recall|
|Gisdol ´twitching with joy´ at Hamburg presentation|
|Zanetti determined Inter will return to the top|
|Getafe sack Esnaider|
|Bartra happy with playing time at Dortmund|
|Aurier handed two-month prison sentence over police altercation|
|Klopp attributes Lallana´s fine form to hard work|
|Totti´s wife slams ´small man´ Spalletti|
|Guardiola has already done an amazing job at Manchester City - Alonso|
|Referees attacked by hooligans in Bosnia and Herzegovina|
|Griezmann: I am not the anti-Benzema|
|Sterling hails Guardiola´s role in goalscoring form|
|Champions League Matchday Two: Madrid look for first win in Dortmund|
|Smalling confident Rooney will bounce back|
|Vardy fears ´permanent stain against my name´ following casino incident|
|Brave Wilshere will reap rewards of loan move - Howe|
|MLS Review: Sounders surprise Galaxy, Kamara double sinks New England|
|Walcott a special case - Wenger|
|Guardiola striving for more after perfect 10|
|Chelsea risk another mid-table finish, admits Conte|
|Montella feels AC Milan lacked courage|