The Japanese midfielder is said to be out of favour under newly hired Borussia Dortmund boss Thomas Tuchel, and could be shipped out of the club as he looks to rebuild the squad in his view.
This has opened up the possibility of a transfer away from the Westfalenstadion, and although he struggled during his last stay in England, the Merseyside outfit are keen on signing him to boost their attacking threat.
The 26-year-old midfielder arrived at Dortmund from Cerezo Osaka in 2010, signing for just €350,000 due to a Europe-based release clause in his contract.
He excelled under Jurgen Klopp’s tutelage, developing into one of the best midfielders in Europe, and earning a £20 million to Manchester United in 2012. He struggled to adapt to English football, and after failing to establish himself under Alex Ferguson, he found himself outcast by David Moyes the following season.
He returned to Germany last summer, signing back for Dortmund, and once again impressing despite their poor season. In total, he has made 109 appearances for Dortmund, scoring 35 goals and registering 25 assists.
During his time in England he managed 57 games, and he is said to want a return to England to prove himself back in the Premier League.
Everton are willing to give him this chance, and the Japanese international could be allowed to leave on a cut-price deal with Tuchel keen on removing him from the playing squad.