talkSPORT reports that Inter boss Rafa Benitez is keen to bring the 24-year-old to Italian football.
Benitez was interested in the defender while he was in charge at Liverpool.
Inter Milan could make a bid of around £10million for Cahill in the January transfer window.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.