Can she do it? That is the question the world of horseracing is asking this week as Treve attempts to become the first ever triple winner of Europe's greatest race, Sunday's Prix de L'Arc de Triomphe at Longchamp in Paris.
No five-year-old mare has won the Arc since way back in 1937 and her stablemates at the Chantilly yard of Criquette Head-Maarek have suffered a horrendous season.
Not only that but Treve is expected to encounter two muscular three-year-old athletes in the shape of New Bay and Golden Horn. This pair are so accomplished that in any ordinary year these two super colts would be fighting for Arc favouritism in this 2400m G1 event.
But it is Treve and regular rider Thierry Jarnet who will be red-hot favourites to climax her amazing career that includes six G1 wins from just 12 career starts and a dazzling unbeaten season in 2015.
Last year Treve was beaten in her trial - the G1 Prix Vermeille - and consequently was unfancied to win her second Arc, so her storming surge up the far rails was a gigantic shock to many racing professionals.
Very different in this year's Prix Vermeille on 13th September when it was a case of Treve first and the rest nowhere. With that imperious performance and last year's problems - involving foot and back issues - ancient history, Arc confidence now appears sky high.
France's greatest-ever trainer Andre Fabre has won the Arc seven times and six of those winners first won the G2 Prix Niel, Longchamp's major Arc trial. And Fabre's French Derby winner New Bay also achieved that a few weeks ago under a supremely confident ride from former jump jockey champion Vincent Cheminaud.
By contrast British trainer John Gosden has never won the Arc but he has achieved more than 100 G1 worldwide victories and has also enjoyed a fantastic 2015 season. Indeed, the 64-year-old trainer is likely to achieve record prizemoney in the UK this year.
Gosden's Epsom Derby winner Golden Horn's Arc chances depend as much on weather forecast as anything but, with rain looking increasingly unlikely, this brilliant winner of six of his seven starts will surely be supplemented into the field on Thursday. Frankie Dettori will again be on board.
Dettori lost the ride on Treve to Jarnet and will undoubtedly be desperate to grab the glory on Sunday, 13 years after his previous victory in this great all-aged Paris spectacular.
Treve, New Bay and Golden Horn are undoubtedly the big three players in what looks like a historic Arc. And viewers to Hong Kong's simulcast programme can watch this great race live on Sunday along with another G1 special - the Prix de L'Opera - a 2000m feature starring some of the world's best fillies and mares.
