The Turkish sports newspaper report that both Premier League sides scouted Tufan over the course of Euro 2016.
Tufan joined Fenerbahce from Bursaspor last season and is widely regarded as one of the most promising young midfielders in Turkish football.
Fenerbahce boss Vitor Pereira described Tufan’s display over Euro 2016 as being reminiscent of a young Yaya Toure.
“He still has a lot to learn and that is my job but the world will soon have a central midfielder on the level of Yaya Toure on their hands,” he said speaking on Sport Tv.
The box-to-box midfielder became the youngster player to score in Euro 2016 when he found the back of the net in the 2-0 win over the Czech Republic.
Tufan does still have another four-years remaining on his contract and Fenerbahce are reluctant to part ways with him unless his valuation is met.