A guide to how the quarter-finalists made it out of the group stage

Following a thrilling group stage, the 18 teams that started the Davis Cup by Rakuten Madrid Finals are now down to eight. Here's a guide to the the quarter-finalists advanced from their groups.

AUSTRALIA V CANADA

Australia

Winners of Group D

Ties win-loss: 2-0

Matches win-loss: 5-1

Powerful performances from Nick Kyrgios and Alex de Minaur in singles against Belgium and Colombia secured Australia’s place in the quarter-finals in Madrid. Jordan Thompson and John Peers toppled Colombia’s joint doubles world No.1s Juan Sebastián Cabal and Robert Farah in doubles as well. The Aussie pair retired after one game from their doubles match against Belgium on Wednesday though, with Peers citing an elbow issue.

Canada

Winners of Group F

Ties win-loss: 2-0

Matches win-loss: 4-2

The Canadians were the first team to qualify for the quarter-finals thanks to impressive displays from Denis Shapovalov and Vasek Pospisil, who took care of all their singles and doubles matches against USA and Italy (Canada forfeited their doubles match with USA). Canada still haven’t called upon Felix Auger-Aliassime, who sustained an ankle problem ahead of the tournament.

SERBIA V RUSSIA

Serbia

Winners of Group A

Ties win-loss: 2-0

Matches win-loss: 5-1

Singles victories for Novak Djokovic and Filip Krajinovic in their ties against Japan and France, along with a doubles win for Viktor Troicki and the retiring Janko Tipsarevic against Japan sealed Serbia’s place at the top of Group A.

Russia

Qualified as one of the two best-placed group runners-up by taking second spot in Group B

Ties win-loss: 1-1

Matches win-loss: 4-2

Sets win-loss: 8-6

A 3-0 sweep for Russia against Croatia on opening day, followed by a 2-1 loss to Spain, were enough to send them to the last-eight. The Russia squad, sans their No.1 star Daniil Medvedev, have relied on their heroic duo Andrey Rublev and Karen Khachanov in all of their matches so far. Their captain Shamil Tarpischev can call upon Evgeny Donskoy for support, if necessary, in future ties this week.

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GREAT BRITAIN v GERMANY

Great Britain
Winners of Group E
Ties win-loss: 2-0
Matches win-loss: 4-2
Four of Great Britain’s five-man squad contributed wins towards the 10-time champions’ run to the knockout stages. While No1 Daniel Evans is still searching for his first win, Andy Murray, Jamie Murray and Davis Cup debutant Neal Skupski downed Netherlands 2-1, before Jamie Murray and Skupski returned to consolidate Kyle Edmund’s opening win against Kazakhstan to top Group E.

Germany

Winners of Group C
Ties win-loss: 2-0
Matches win-loss: 5-1
Germany won a dramatic opening tie with Argentina to take control of Group C, the 3-0 scoreline betraying the drama of a showdown that saw Kevin Krawietz and Andreas Mies win a 38-point third-set tie-break in the doubles – the longest in Davis Cup history – to secure the sweep. The victory proved crucial when the Germans were pegged back by an already-eliminated Chile side, Cristian Garín sending the tie into a decisive doubles.

ARGENTINA v SPAIN

Argentina

Qualified as one of the two best-placed group runners-up by taking second spot in Group C

Ties win-loss: 2-0

Matches win-loss: 3-3

The Argentines placed second in Group C behind Germany after going 3-0 against Chile in their opener, and losing 0-3 to the Germans. Diego Schwartzman and Guido Pella are Argentina's No.1 and No.2 this week, respectively, while Maximo Gonzalez and Leonardo Mayer have been the doubles pairing of choice for them so far. The duo won their opener but lost a heartbreaking 38-point third-set tie-break against Kevin Krawietz and Andreas Mies of Germany on Wednesday.

Spain

Winners of Group B

Ties win-loss: 2-0

Matches win-loss: 5-1

Spain topped Group B with a 2-1 win over Russia and a 3-0 rout of Croatia. Rafael Nadal and Roberto Bautista Agut played the singles role for Spain so far this week at the Caja Mágica. Nadal scored wins over Karen Khachanov and Borna Gojo, and a doubles victory alongside Marcel Granollers against Croatian pair Mate Pavic and Ivan Dodig. Bautista Agut had one win and one loss, while Feliciano Lopez teamed up for a doubles win with Granollers over Russian duo Khachanov and Rublev. Pablo Carreno Busta is also available to be called upon by team captain Sergi Bruguera.

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