Djene was the subject of a £12.8m bid from Monaco this month but it was swiftly rejected by Getafe.
The Togolese defender helped Getafe to a staggering fifth-place finish in La Liga last season.
Everton, Bournemouth, Crystal Palace and Southampton are all believed to be linked to the defender.
It's no secret that Arsenal are in the market for a centre-back, especially following the long-term injury suffered by Calum Chambers.
The new Gunners boss Mikel Arteta has even said publicly that the injury to Chambers will force them to adjust their transfer plans.
Another Arsenal centre-back, Shkodran Mustafi, could leave this month - another reason to recruit reinforcements.
Djene has a contract until 2023 and is estimated to cost north of £22m.
The 28-year-old has 49 caps for Togo and can also double up as a right-back.
A factor that might've deterred potential suitors is Djene's disciplinary record - 15 bookings and three red cards last season.
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