Hansi Flick can still see room for improvement from his Bayern Munich side despite brushing aside Schalke 4-0 to move seven points clear at the top of the Bundesliga.

The reigning champions capitalised on RB Leipzig's shock defeat at Mainz by seeing off Schalke, the division's bottom side, at the Veltins-Arena on Sunday.

Thomas Muller scored either side of Robert Lewandowski's record-breaking goal - netting in an eighth successive away league match - before David Alaba got in on the act in the final minute.

Bayern did not have things all their own way in the first half, though, with Manuel Neuer reacting well to keep out Mark Uth's header from the best of Schalke's opportunities.

Flick is pleased his side have rediscovered their form with three wins in a row since suffering back-to-back losses earlier this month, but he acknowledged there is still more to come.

"I'm not entirely happy with what we showed," he told Sky Sport. "We scored four goals, but we should have done better, especially with the way we positioned ourselves.

"However, I am very satisfied with the nine points with have obtained from the last three games. After defeats to Holstein Kiel [in the DFB-Pokal] and Monchengladbach, it was important to find stability.

"We now have a certain cushion, but it is still important that we approach every game the way we have approached the last few games, that we perform 100 per cent. 

"We're going to take two days off now. This is important to clear your head from time to time. From Wednesday, we will then prepare intensively for Hoffenheim."

Bayern have now kept clean sheets in successive league games for the first time this term, with Neuer making three saves in total - all in the first half.

Neuer's 197th shutout is a new Bundesliga record, surpassing Bayern great Oliver Kahn, but it was bittersweet coming against his beleaguered boyhood club.

Schalke are bottom of the division with one win from 18 games but Neuer is hopeful they can avoid the drop.

"Obviously, it's difficult for them against teams like us," he said. "I think that they have to beat two or three clubs that are in the lower half of the table, one after the other.

"I wish the Schalke players luck that they can stay in the league and that they can still turn the tide. Of course, I'll keep my fingers crossed for that."

Of his own team's display, which saw Bayern register a season-high 31 shots, Neuer said: "We improved and still had one or two more scoring chances. 

"We certainly would have signed for a 4-0 win beforehand."

Meanwhile, Muller's double took him to nine goals in 18 Bundesliga games this season, already beating his tally from the entirety of 2019-20.

The forward, who scored a clinical header in each half, echoed the thoughts of Flick in saying his side were slightly flattered by the margin of the scoreline.

"We neglected some aspects of our game," Muller said. "We besieged the opposing goal in the first half, played a few chances well, but the last action was missing.

"Overall, you noticed that when we increased the pace and played our game, we were always able to get ourselves into good final positions. 

"We have won all three games this week and made a giant leap forward in the table. That is what counts."

Robert Lewandowski became the first player in Bundesliga history to score in eight successive away games and Thomas Muller scored twice as leaders Bayern Munich cruised to a 4-0 win over Schalke.

Second-place RB Leipzig suffered a shock loss to Mainz 05 on Saturday and Bayern took full advantage at the Veltins-Arena on Sunday, moving seven points clear at the top.

Schalke are bottom of the table with one win all season but they more than matched the European champions before Muller's 33rd-minute breakthrough.

Muller doubled his tally late on after Lewandowski had scored his latest record-breaking goal early in the second half, before David Alaba added further gloss at the death.

The division's leading scorer Lewandowski glanced over the crossbar from close range early on before a better chance came and went for Mark Uth, who headed straight at Manuel Neuer from five yards out.

Ralf Fahrmann was called into action with a fine double save to keep out Lewandowski's free-kick and Serge Gnabry's follow-up attempt. 

Gnabry went close again when glancing the side-netting with a header he should have put away, but Bayern were in front seven minutes later through Muller's powerful header. 

The attacking midfielder met Joshua Kimmich's back-post delivery and made no mistake in beating Fahrmann for his eighth league goal of the campaign. 

Gnabry thought he had added a quickfire second after Leroy Sane's initial effort was parried, only for the offside flag to go up against the former Schalke winger.

But the Bavarian giants did double their advantage early in the second period as Lewandowski controlled Kimmich's long ball, held off two defenders and slotted under Fahrmann.

It is the 11th successive Bundesliga game in which Lewandowski has scored against Schalke and he nearly added another, dragging wide from 18 yards 20 minutes from time.

Schalke are now without a win against Bayern in 21 league matches and badly faded in the closing stages, with Muller heading in from another Kimmich delivery and Alaba adding a fourth with a 30-yard drive that squirmed under Fahrmann.

Bayern Munich's shock DFB-Pokal loss to Holstein Kiel left Hansi Flick "very disappointed" but the head coach insisted the German and European champions must move on.

DFB-Pokal holders Bayern sensationally crashed out in the second round on Wednesday, stunned 6-5 on penalties following a 2-2 draw against second-tier Kiel after extra time.

A 95th-minute equaliser thwarted Bayern, who were on the brink of the last 16 thanks to Leroy Sane's sublime free-kick at Holstein-Stadion, where Serge Gnabry's opener had been cancelled out by Fin Bartels.

After Bayern substitute Marc Roca was denied by Ioannis Gelios, Bartels stepped up to complete the remarkable upset – the Bundesliga and Champions League holders beaten in a penalty shoot-out against a lower-tier side in the DFB-Pokal for only the second time after 2000.

"It's a shock of course. We're very disappointed, we wanted to defend the treble. Taken altogether it was down to details, the team showed great spirit," Flick said.

"We were dominant, which was our aim. It's very annoying that we conceded the equaliser in the last second. We must congratulate Kiel, they made it a real cup fight, they were completely committed. We must put it behind us and improve.

"We must be more compact at the back. We must apply more pressure and be more solid when it comes to balls over the top.

"It's surprising, that's what the cup is like. Kiel defended well, their keeper turned in an outstanding performance. It just happens in penalty shoot-outs, I don't blame Roca."

For the first time in more than 12 years, Bayern were forced into extra time against a lower-tier team in the DFB-Pokal after Kiel captain Hauke Wahl struck at the death.

Bayern star Thomas Muller added: "At the end of the day we lost against the underdogs from Kiel. It may sound silly after such a defeat but lady luck wasn't really on our side today.

"We had a pretty good feeling in the first half and played decently. We had good chances, we combined well, we enjoyed more of the ball. Kiel gave it their all. It was certainly a good performance from their point of view.

"It wasn't an upset that was looming from the off. We made mistakes when it came to the details and Kiel were pretty clinical, as they were in the shoot-out."

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