The Spurs captain saw his deal's 12 month option triggered last season.
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Asked about his situation, Son said after South Korea's 4-0 rout of Kuwait: "I still have one more year left on the contract.
"Rather than saying anything at this moment, I think we should all wait and see what happens.
"But no matter where I end up, I will always do the best I can. It will never change."
Son scored 11 goals in all competitions last season, his lowest tally since his first season at the club. He also provided 12 assists.