The Besiktas winger was a target for the Merseyside club during the reign of Roberto Martinez, with the 22-year-old having impressed in Turkey – he helped the Istanbul giants to secure the Super Lig title in 2015/16.
Although some of the club’s planned transfer business will have shifted during the transition from the Spaniard to Koeman, reports claim that Frei remains a target, with the new man in charge at Goodison Park having seemingly given the go-ahead to a move.
The wide-man, who has had spells in English football with Fulham and Cardiff, is thought to be available for around €7m (£5.8m), even though Besitkas have allowed Gokhan Tore to join West Ham on loan this summer already.
Born in Austria to a Turkish father and Moroccan mother, Frei initially represented Switzerland at international level after growing up in the country and coming through the ranks at Grasshopper Zurich.
However, he switched his allegiance to Turkey after leaving U-21 football, and has since been capped five times – albeit he wasn’t included in their EURO 2016 plans.