The South Korea striker is off contract in June and yet to open talks about a new deal.
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Fanatik says Gala management are watching Son's situation closely and are ready to make a pre-contract pitch to the attacker next month.
For their part, Spurs can trigger a 12-month option in the player's deal.
Gala see Son as a potential replacement for Victor Osimhen, who is on-loan from Napoli and set to be sold in 2025.
Son has five goals and four assists in 16 competitive games for Tottenham this season.
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