Galileo has been identified as a possible first stallion to visit Treve, who wowed the racing world with a second consecutive victory in the Prix de l'Arc de Triomphe at Longchamp on Sunday.
Criquette Head-Maarek's filly was a stunning winner of the Longchamp showpiece in 2013 but the chances of successfully defending her crown appeared slim following a largely forgettable four-year-old campaign.
However, Treve rediscovered her potent turn of foot to once again run out an emphatic winner of Europe's premier middle-distance prize on what was a spectacular swansong.
Speaking from her stables in Chantilly on Monday morning, Head-Maarek said: "She's fine today and eaten everything.
"I think that's definitely it. Sheikh Joaan (Al Thani, owner) wants to retire her.
"She's going to Sheikh Joaan's stud, I don't know to what stallion first, maybe Galileo.
"She will stay here for a while first, I need to let her down and let her go without pressure.
"If she hadn't had problems I would have been asking the Sheikh to let us go for a third Arc, but not with her problems - that is now impossible."
