One name that has cropped up rather predictably is Arsenal's soon-to-be-out-of-contract midfielder Aaron Ramsey.
Arsenal have a five-point lead over Manchester United in their pursuit of a top-four finish to secure a return to the Champions League after a two-season absence.
Ramsey scored in Arsenal's 5-1 win over Fulham earlier this month and has made over 300 appearances for Arsenal in all competitions.
Ramsey has already insisted he has no plans to leave Arsenal in January, but did admit he thought he had agreed a new deal before the Gunners called a halt to talks.
That means that, as things stand, the Wales worldwide would be able to leave on a free transfer in the summer.
The midfielder is set to take his time to consider his options but is open to staying in the Premier League with one of Arsenal's direct rivals if he is forced to move on.
Wenger feels the 27-year-old is in a strong position at Arsenal despite the club withdrawing a contract offer. And the club hopes they can use his addition to their advantage to convince Ramsey to sign.
Sources have told ESPN FC that Liverpool do not hold an interest in the Wales worldwide but Manchester United and Chelsea are prepared to monitor the situation in the event he is available for nothing.
United and Liverpool are tipped to submit bids for Ramsey in January, while Juventus and AC Milan are poised to enter talks with the midfielder.