The Swiss winger once again impressed for Switzerland at this summer's World Cup, but could ultimately do little to stop his country sliding out of the tournament at the hands of a plucky Sweden side in the round of 16.
Signed from Inter Milan by former Stoke manager Mark Hughes for £12m in August 2015, Shaqiri has openly admitted that he would look to leave after the club's drop into the Championship.
Previous reports have stated that Stoke want Wilson, 21, to be included in any deal for Shaqiri - which is an idea Kopites have wholly rejected.More news: Japan floods: Dozens killed in deluges and landslides
The Switzerland worldwide is keen to leave Stoke after their relegation from the Premier League and is reported to have a release clause in his contract, although the exact details of that remain unknown.
The relegation ensured that a new release clause was triggered in Shaqiri's contract, with the 26-year-old now allowed to depart the club for a modest fee of £13 million - a true bargain in today's market.
Liverpool have already bolstered their midfield options this summer with Naby Keita and Fabinho, for £52.75m from Red Bull Leipzig and £43.7m from Monaco respectively, and had lined up a £53m move for Nabil Fekir until a medical raised concerns.
Shaqiri is seen as a player who will strengthen Jurgen Klopp's squad by providing quality back-up to an established front three of Mohamed Salah, Roberto Fimino and Sadio Mane and Press Association Sport understands Liverpool have opened talks with Stoke with a view to taking him to Anfield.