The Serbian struggled at Anfield and spent last season on loan at Fenerbahce.
Fenerbahce's Lazar Markovic in action with Celtic's Kieran Tierney and Stefan Johansen
They report that Liverpool are keen on moving the Serbian attacker on this summer and that they have offered him to Turkish side Galatasaray ahead of a potential sale.
Of course this would be an interesting development, considering where Markovic spent the 2015-16 season on loan.
He played for Gala’s fierce rivals Fenerbahce and a switch would not go down well.
Interestingly he posted a message on his Twitter account earlier today for all Fenerbahce fans – which seemed to show his gratitude for his time at the club. Or perhaps it was an early apology ahead of a move to Gala?
Markovic was a marquee signing of Jurgen Klopp’s predecessor Brendan Rodgers at Anfield. The Serbian, who arrived from Benfica in 2014 for a fee reported by the BBC to be in the region of £20 million, struggled for consistency at Anfield and after being asked to play as a wing-back.
Chelsea's Filipe Luis in action with Liverpool's Lazar Markovic
He featured 23 times for Fenerbahce last season in an injury disrupted campaign.