Treve remains on course for her defence of the Prix de l'Arc de Triomphe despite her latest defeat at Longchamp.
Last year's Arc winner suffered her third defeat of the year when fourth in the Prix Vermeille with Thierry Jarnet aboard replacing Frankie Dettori.
While Treve, who won this Group One race en route to the Arc last year, came with a strong run down the outside she failed to quicken in her old style.
Jarnet opted to ease her up while the Andre Fabre-trained Baltic Baroness snuck along the rail to beat English challenger Pomology.
Treve's visibly emotional trainer Criquette Head-Maarek held impassioned discussions with the entourage of the owner, Sheikh Joaan Al-Thani, in the enclosure.
"Don't rule her out of the Arc," Head-Maarek said.
"This was a good effort by her. Don't forget she was out for a month because of an injury so this is a good return.
"One is always disappointed when one loses but let us not have a knee-jerk reaction. I will do everything to have her ready for the Arc.
"You can never entirely get rid of a cyst in a hoof but the ground should be softer on Arc day and that will suit her."
Fabre, who has won the Arc seven times, said Baltic Baroness would also take her place.
"She was always a horse we thought a lot of and this is a day we were waiting for her to show her quality," he said.
"We always planned to keep her in training next year when she will be even better but now we will have a rethink about the Arc."
Dettori, had cause to celebrate in the following race when he steered 2013 Epsom Derby winner Ruler Of The World to victory in the Group Two Prix Foy.
Earlier this year, Sheikh Joann bought a half share in the Aidan O'Brien-trained Ruler of The World whose Arc price was slashed from 33-1 to 14-1.