The Iran international is in advanced talks to move to Elland Road, says Il Corriere dello Sport.
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West Ham, Fulham, and Nottingham Forest are also interested in Taremi, but Leeds are now on the brink of clinching a deal for the centre-forward.
The 33 year-old also had offers from Botafogo and Flamengo, but declined as he wants to continue his career in Europe.
For now, Taremi's fee hasn't been disclosed, but Inter expect to sell for cash terms, having taken him for a free transfer from Porto.