Neuer has just led Bayern to a tenth straight Bundesliga title and will be 38 by the time his new deal expires.
What's at stake in Europe's top five football leagues with 2021-22 season drawing to a close.
Bundesliga giants Borussia Dortmund have parted ways with their manager Marco Rose, who joined the club last summer and ended the season without a trophy.
Lewandowski confirmed to Sky Sports that he has told Bayern sports director Hasan Salihamidzic he will not extend his contract, which expires in 2023.
Lewandowski has opened the door to a high-profile transfer after telling Bayern Munich that he will not be extending his contract beyond June 2023, German media reported on Friday.
Schalke's late surge for promotion this season was mirrored in the game on Saturday which secured their return to the Bundesliga. Schalke were down 2-0 at halftime against promotion rival St Pauli but recovered to win 3-2.
The Germany international is set to spend his entire professional career at the Bundesliga champions, who he joined as a 10-year-old.
A week after being crowned Bundesliga champions for the 10th straight season, Bayern crashed to a 3-1 loss at mid-table Mainz, who also hit the woodwork four times in a deserved win
Bayern Munich manager Julian Nagelsmann was furious after his team's lacklustre display at Mainz, who also hit the woodwork four times in a deserved victory.
Bayern Munich won the German league for a tenth straight time, and a record 31st time, but it hurts the Bundesliga more than improving its image.
Davie Selke fired Hertha into an early lead at Berlin's Olympic Stadium and Ishak Belfodil made sure of the three points with a second goal deep into stoppage time.
Bundesliga: Bayern Munich down Dortmund to win 10th straight league title; Union Berlin stun Leipzig
This is the first time a club has won 10 straight titles in one of Europe's top five leagues.
There are four league games left but Bayern can secure the title by beating second-placed Borussia Dortmund in next Saturday's top-of-the-table clash in Munich.
European football matchday: Chelsea face Crystal Palace in FA Cup semis; Real Madrid travel to Seville
Chelsea, the 2018 FA Cup winner, have already reached one final, losing the League Cup to Liverpool. Palace have lost both FA Cup finals they have reached, most recently in 2016.
The thumping win over mid-table Wolfsburg leaves second-placed Dortmund six points behind Bayern, who are away to Arminia Bielefeld on Sunday.
European Football Matchday: City, Liverpool lock horns in potential title-decider; Barcelona eye seventh straight LaLiga win
Here's a look at some of the major footballing fixtures across Premier League and other European leagues on Sunday.
Lewandowski converted a late penalty as Bayern Munich rebounded from its Champions League defeat to beat Augsburg 1-0 on Saturday and take another step toward a record-extending 10th consecutive title.
Bundesliga: Substitute Julian Brandt's brace helps Dortmund beat Stuttgart, trim Bayern's lead at the top
Reyna was injured after just 54 seconds but his replacement Brandt gave Dortmund the lead on 12 minutes, then smashed in a second after the break. Brandt thus made Bundesliga history with the earliest goal by a substitute.
Bayern won 4-1 at Freiburg but the host club has appealed after Bayern had an extra player on the pitch for 18 seconds of the second half after two players came on, but only one had come off.
Under league rules, such a breach of the substitutes regulations could see the result being reversed with Freiburg awarded the three points.