Son Heung-min, who suffered a fracture around the eye, successfully completed the operation.
The British press also gave a positive outlook for the World Cup appearance.
The British daily The Telegraph reported that "Son Heung-min's surgery was successful, and the medical staff are also positively looking at the prospect of participating in the World Cup."
In addition, he said that the Belgian case of De Bruyne, who returned 18 days after surgery for an orbital fracture, will be of great help to Son Heung-min, and he will miss Tottenham's remaining three games before the World Cup.
Heung-Min Son has a strong will to participate in the World Cup to have his surgery one day earlier for a quick recovery.
With less than three weeks left before their first match against Uruguay, he is expected to decide whether to join Ben Tuho after concentrating on his recovery with the club's medical staff.