The ex-Arsenal and Manchester United star is unemployed after being released by Marseille.
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Sanchez had only joined the club last season, but found himself packing his bags despite scoring 14 goals in Ligue 1 last season.
Before his spell in France, the Chilean turned out for Inter for three seasons, with the first being a loan spell from Man Utd.
While there he helped them end the club’s Serie A title drought.
In total he bagged 20 goals from 109 appearances in all competitions.
And now, at the age of 34, Sanchez could make a stunning return to Italy.
It comes after Inter CEO Beppe Marotta revealed Joaquin Correa wanted to play more.
As quoted by Fabrizio Romano, he Marotta said: “Correa wants to have more space and yes, Sánchez is keen on returning here.
“Alexis sent us clear messages about his desire to re-join Inter, it’s true.”
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After three-and-a-half successful seasons in north London, Sanchez sealed a sensational transfer to Man Utd halfway in January, with Henrikh Mkhitaryan going the other way.
However, the move turned sour very quickly, with Sanchez revealing he wanted to leave United after just one training session.
He would eventually leave Old Trafford permanently in 2020, joining Inter on a free transfer.
This summer he has been linked with a return to Barcelona.
Meanwhile, SunSport revealed in May Sanchez had put out feelers regarding a Premier League return.
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