Graham has reportedly trained with the Black Cats as Phil Parkinson weighs-up his options, but what other striker targets could the Black Cats be considering?
We take a look at nine free agent strikers that Sunderland could target if they fail to land Graham – although the salary cap may make it difficult to seal deals for some of these players:
5. Sam Winnall
Previously linked with the Black Cats under Jack Ross, Winnall is a proven entity in League One and it's something of a surprise he hasn't been picked up yet. He'll be a fine acquisition for whoever he ultimately joins. Photo: James Chance
6. Chris Martin
Another player who has been on Sunderland's radar in the past, Martin is now a free agent after leaving Derby. He may well have Championship clubs chasing his signature, though. Photo: Nathan Stirk
7. Will Keane
Once a highly-rated youngster at Manchester United, Keane hasn't been able to find somewhere where he can consistently play - and the goals have failed to flow. But some managers may see the potential and believe they could unlock his quality. Photo: James Chance
8. Brandon Hanlan
While not an out-and-out striker, Hanlan can play across the forward line and showed his quality with a goal against the Black Cats last season. He's still training with former club Gillingham but is out of contract - with Portsmouth reportedly interested. Photo: Julian Finney