Former Argentina international Federico Martin Aramburu was reportedly shot dead in France early on Saturday.
The 42-year-old, who was capped 22 times, played at the 2007 World Cup in France and scored a try against the hosts to help Argentina finish third.
According to L’Equipe, Aramburu was killed in a drive-by shooting in Paris.
The French newspaper said he had been involved in an early-morning argument in a bar with a group of people who later returned in a car and shot him.
A murder investigation has been opened by the Paris prosecutor’s office. Police are reported to be looking for three suspects.
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A tribute was paid to Aramburu before France’s Six Nations finale against England at Stade de France, with his image shown on the stadium’s big screen.
Dimitri Yachvili, former France scrum-half and team-mate of Aramburu at Biarritz, said “the game has lost a brother who loved life”.
Aramburu was “always positive, lively and full of energy”, Yachvili told the Sud Ouest newspaper.
“More than being a great team-mate, he was a beautiful person who loved rugby.”
Aramburu had spells at French clubs Perpignan, Biarritz and Dax before joining Glasgow Warriors in 2010.