WalesOnline says the 25-year-old has been on Swansea's radar for sometime, with SA1 chiefs keen on the Bosnian before he moved to Goodison Park from Ferencvaros in 2014.
After a strong start to life on Merseyside, he has been plagued by hamstring issues in recent seasons and has subsequently fallen out of favour.
In January of this year he was loaned to Middlesbrough where he scored on his debut against Cardiff.
Tony Pulis is keen to bring him back to the Riverside but a move has broken down. Sources on Teesside say that a move could still happen, but it is looking unlikely at the point.