After finishing third in the 2000 Guineas at Newmarket earlier in the season, Andre Fabre's colt suffered an odds-on reverse on his return from a break at Maisons-Laffitte last month.
But he showed his true colours at Deauville, digging deep to claim Group One glory by a short-head and he is likely to return to Britain for Champions Day on October 21.
Harry Herbert, racing manager for owners Al Shaqab Racing, said: "It was a fantastic ride by Frankie Dettori. He got a really nasty whack on the head at a crucial part of the race and still managed to win.
"He seems to love that ground. I think Andre Fabre wants to sit on it, but the Queen Elizabeth II Stakes on soft ground would probably be a pretty likely target for him.
"Whether he goes further between now and then, we will have to wait for the master trainer to speak. He is doing physically well and I thought he looked really well on Sunday.
"He has always been held in the highest regard and it was lovely to see him win his Group One."
Al Shaqab's top-class filly Qemah is set to return to Ireland for a tilt at the Coolmore Fastnet Rock Matron Stakes next month.
Jean-Claude Rouget's charge was beaten just half a length into fourth place when defending her crown in the Prix Rothschild at Deauville last month and is now pencilled in for a trip to Leopardstown, where she finished third last season.
"She might well go to the Matron now. She ran really well the other day and she is a filly that has got a huge amount of ability," Herbert added.
"Sometimes she can be a bit too free and keen for her own good. When they are free, trying to come off the pace in that ground is really difficult."