The Welshman has been at the north London club for 10 years now, but has entered the last year of his contract.
While contract talks between the player and Arsenal looked to be going well, a contract renewal was withdrawn last week leading many to think that ramsey will be leaving at the end of the season.
Many of the world's best clubs are interested in talking on Ramsey's services including Chelsea and Juventus, but Liverpool could be in the driving seat to gain his signature.
Jurgen Klopp's methods are admired greatly by the former Cardiff City man, and he would be given the chance to link up with Alex Oxlade-Chamberlain again.