The Turkish giants have reportedly been keeping tabs on the Belgian winger since last summer.
Kevin Mirallas did not enjoy the most fruitful of seasons at Everton this term and it appears as though he may be offered an escape route from Goodison Park, with Turkish outlet Ajansspor claiming that Fenerbahce are keen to sign him this summer.
Mirallas made just 23 appearances in the Premier League under Roberto Martinez in the most recent campaign, and many of those came as a substitute as he fell out of favour under the Spanish boss.
The 28-year-old enjoyed his most successful season in England in 2014-15 with 11 goals in 36 appearances, and was rewarded with a new three-year contract 10 months ago as a result of the impressive form which saw him billed as a hugely exciting attacking midfielder.
However, this season he found his role much more limited, although he began to be used more regularly during the final weeks of the campaign and scored in two of the last three fixtures.
Despite that little upturn in fortunes late on, Mirallas could well be a prime candidate to leave Goodison Park this summer, particularly as his lack of regular playing time saw him miss out on a spot in the Belgium squad for Euro 2016.
According to Ajansspor, Fenerbahce have been monitoring the winger's situation all season long and are hoping the lure of both regular first-team football and the prospect of playing in the Champions League will entice him to move to Istanbul.
Mirallas still has two years left on his deal, something which could see him command a significant fee, but with his star having fallen in the last 12 months a summer exit could well be on the cards.