The Reds have so far been unable to tie the versatile 24-year-old down to fresh terms, meaning that he continues to head towards free agency.
A frustrating saga for those at Anfield has unsurprisingly sparked plenty of speculation as to where Can will be playing his football next season, with leading sides from across Europe keeping a close eye on his situation.
Serie A giants Juventus have led the chase for a sought-after signature, but Manchester United have also been linked while a return to Bayern Munich – the place where it all began for Can – has been mooted.
The teenage midfielder has faced Can before in European competition and told Goal when asked to name his most difficult opponent to date: “I played against Emre Can in Champions League qualification and he really impressed me.
“He is very athletic, goes into the box whenever it's possible and has a great technique. For me he is a great player.”
Liverpool faced Hoffenheim at the play-off stage of the 2017-18 Champions League.
The Reds recorded a 6-3 aggregate success, with Can netting two of their goals in a 4-2 second leg victory at Anfield which carried Jurgen Klopp’s side through.
Geiger added on that experience, with the 19-year-old enjoying a breakthrough campaign at Hoffenheim: “We lost and the game did not run how we expected, but I will never forget it.
“It was a great experience and the atmosphere at Anfield was incredible. I tried to absorb every moment of the game.”
While Geiger and Hoffenheim fell at the first hurdle in continental competition, Liverpool have embarked on a memorable run.
Play-off success took them into the group stage, and from there they have gone on to dispose of Porto in the last-16 and now hold a commanding 3-0 lead over Premier League rivals Manchester City in a heavyweight quarter-final clash.