The 22-year-old German is Liverpool's most-expensive signing ever, ahead of captain Virgil van Dijk who joined for 75 million pounds in 2017.
The German champions said they had reached agreement with Deportivo Coruna and last season's Spanish first division top scorer would sign a four-year contract.
German champions Bayern Munich clinched the German Cup with a crushing 4-0 win over holders Werder Bremen on Saturday to stay on track for a treble. Bayern, who face Inter Milan in the Champions League final on May 22, took the lead through Arjen Robben's first half penalty before Ivica Olic doubled their lead in the 51st minute. Franck Ribery and Bastian Schweinsteiger added two more to cap a memorable domestic season for Bayern.
Bayern Munich's Robert Lewandowski made amends for several glaring misses when he scored a late goal and set up another as the German champions ground out a 2-0 win at battling Schalke 04 on Friday.
A 2018 World Cup finalist, Perisic, who also played for Borussia Dortmund and VfL Wolfsburg in the Bundesliga between 2011 and 2015, will play for Bayern starting on Friday.
Unbeaten Bundesliga leaders Bayern Munich opened up an 11-point gap at the top after goals from Thomas Mueller and Kingsley Coman eased them past Hertha Berlin 2-0 on Saturday, their 13th win in 14 league games.
Bayern Munich can either move closer to three titles or miss out on them completely in the coming "weeks of truth", their coach Louis van Gaal said on Monday.
Bayern Munich ended Real Madrid's bid for a 10th European crown when they eliminated the Spaniards 3-1 on penalties in a nerve-jangling second leg semi-final at the Bernabeu on Wednesday.
VfL Wolfsburg are interested in signing Arsenal midfielder Tomas Rosicky and Bayern Munich forward Ivica Olic as they seek to turn their season around after the winter break, coach Felix Magath said on Wednesday.
Getafe scored a 1-1 draw at Bayern Munich on Thursday to improve their hopes of reaching the UEFA Cup semi-finals in their debut European season. Bayer Leverkusen were routed 4-1 at home by Russian champions Zenit St Petersburg, while Fiorentina were held to a 1-1 draw at home by PSV Eindhoven and a bad-tempered clash in Glasgow ended goalless between Rangers and Sporting.
In-form Borussia Moenchengladbach struck three times in 14 minutes in the second half to floor champions Bayern Munich 3-1 on Saturday and inflict their first Bundesliga defeat of the season.
Bayern Munich have confirmed they have reached an agreement with Italy's Juventus to sign Chile international Arturo Vidal, the German club's CEO Karl Heinz Rummenigge said on Thursday.
Kingsley Coman scored one goal and set up another as Bayern Munich came from a goal behind to beat VfB Stuttgart 3-1 on Saturday and defend their top spot in the Bundesliga.
Holders Bayern Munich eased into the German Cup third round with a comfortable 3-1 win at Hamburg SV on Wednesday to continue their unbeaten domestic run as they prepare for Saturday's league clash against Borussia Dortmund.
Borussia Dortmund stayed top of the Bundesliga by beating Augsburg 4-3, while titleholders Bayern Munich were thumped 3-0 at home by Borussia Moenchengladbach.
Real Madrid and Bayern Munich both had their leads cut in the Primera Liga and Bundesliga respectively after suffering away defeats.
Bayern left fuming over Champions League 'robbery'.
Bayern Munich have underlined the scope of their ambition by announcing the appointment of spectacularly successful former Barcelona coach Pep Guardiola to replace Jupp Heynckes from the end of this season.
A summary of the concluding day's action in the Bundesliga, Serie A, Ligue 1 and Saudi Pro League.
Newcomers Franck Ribery and Luca Toni were on target to help Bayern Munich to a brilliant 4-0 win at Werder Bremen in the Bundesliga on Saturday.
Pep Guardiola is pleased with the Premier League side's improvement and form over the past two months but will not make any premature comparison with his former clubs.
Bayern Munich scraped past Hertha Berlin 1-0 on Saturday.
Bayern Munich demolished Schalke 04 4-0 with two goals from David Alaba to open a 15-point gap at the top of the Bundesliga on Saturday as champions Borussia Dortmund and Bayer Leverkusen slipped up.
Bayern Munich secured a place in the Champions League last 16 with an impressive 4-1 win at Juventus as former European champions Real Madrid and AC Milan also advanced to the knockout stage on Tuesday. Juventus were eliminated after Bayern came from behind to end the home side's 16-match unbeaten home run in Europe's premier club competition.
Title contenders Borussia Dortmund twice hit the woodwork as they beat Freiburg 3-1 to join leaders Bayern Munich at the top of the Bundesliga.
Bayern Munich's Bundesliga woes continued on Saturday when they blew a two-goal lead in a 3-3 home draw with VfL Bochum while promoted Hoffenheim took over at the top. Bayern were leading 3-1 with seven minutes to go through goals from Daniel van Buyten and Ze Roberto (2) only to allow Bochum to stage a comeback with two bad defensive lapses inside three minutes.
Scotland's Clarke names uncapped trio in Euro squad.
Robert Lewandowski's hat-trick helped give coach Carlo Ancelotti a flying start to his first Bundesliga campaign as Bayern Munich cruised to an easy 6-0 win over Werder Bremen at the Allianz Arena on Friday.
Bayern Munich winger Franck Ribery won the UEFA Best Player in Europe award for 2012/13 ahead of the usual contenders Lionel Messi and Cristiano Ronaldo.
Liverpool manager Juergen Klopp said he had turned down Bundesliga champions Bayern Munich "a few times"
Manchester City's Erling Haaland came back to haunt Borussia Dortmund with a clinical finish against his former team, while Phil Foden bagged a brilliant brace as the hosts cruised to a 4-1 win in the Champions League on Wednesday to climb to fourth.
German giants Bayern Munich expectedly thrashed the Indian national team 4-0 in Bhaichung Bhutia's farewell match, which had little in quality, in Delhi on Tuesday. Around 35,000 spectators watched the match at the floodlit Jawaharlal Nehru stadium, but the national team, led for the last time by Bhutia, was no match for the highly-fancied German side, which had overwhelming ball possession and did most of the attacking.
Serge Gnabry scored twice as Bayern Munich beat Chelsea 3-0, while Antoine Griezmann's second-half equaliser handed Barcelona a vital away goal and earned them a 1-1 draw at Napoli in their Champions League last 16, first leg on Tuesday.
Argentine defender Martin Demichelis will go on loan to Spanish club Malaga from Germany's Bayern Munich for six months with an option to extend, he told Bild newspaper on Friday.
Bayern Munich are shattering every single record in their path, extending their unbeaten league run to 52 games with 19 straight victories.
Xherdan Shaqiri scored one goal and set up three and substitute Mario Gomez notched a quick hat-trick as Bayern Munich, chasing a treble of titles, crushed VfL Wolfsburg 6-1 on Tuesday to move into the German Cup final.
Bayern Munich will appeal to the Court of Arbitration for Sport (CAS) after UEFA upheld a three-match ban that will keep Franck Ribery out of the Champions League final, the German club said on Wednesday.
Bayern Munich coach Pep Guardiola pledged his team would come back stronger next season after they lifted the league trophy in a huge post-match party following a 2-0 victory over Mainz 05 to end their Bundesliga campaign in style.
