The Reds have now made a formal approach to Stoke for the 26-year-old who has a £13.5million release clause that will enable him to make the switch to Anfield without any fuss following their relegation from the Premier League.
One of Switzerland's star performances in Russian Federation, his last-minute victor against Serbia sent the side through to the World Cup's round of 16 before their campaign drew to a close with a defeat to Sweden.
Jurgen Klopp has identified the Switzerland worldwide as one who can bolster his attacking options, while the presence of a release clause in the 26-year-old's contract makes a deal a financially attractive one.
Having already welcomed Fabinho and Naby Keita for £44m and £52m respectively, the Reds are also being linked with moves for Nabil Fekir and Xherdan Shaqiri.
Shaqiri joined Stoke in 2015 from Inter Milan before going on to make 84 league appearances for the club.
It is believed Stoke are interested in taking one of Liverpool's youngsters, such as Harry Wilson or Sheyi Ojo, on loan and they hope doing a deal for Shaqiri may help get that over the line. He admitted that he would like to leave following last season's relegation. Liverpool then fly to America for a three-game tour, where they will play Borussia Dortmund, Manchester City and Manchester United in the International Champions Cup.
Calls for Liverpool to sign a goalkeeper were intensified after Loris Karius' mistake against Tranmere this week, but the club have made no progress with regards to a move for Alisson Becker, their preferred target.
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