Farhh could be supplemented for the Coral-Eclipse at Sandown on July 7 after his good run at Royal Ascot.
The four-year-old lost his unbeaten record but enhanced his reputation when flashing home to finish third in the Prince of Wales's Stakes.
He had previously won the Thirsk Hunt Cup but proved his future lies in Group One races after meeting trouble in running before being beaten less than three lengths by So You Think.
"He's still learning," said trainer Saeed bin Suroor.
"We'll see what we decide to do, it's still a bit soon after his race and all options are open to him.
"We'll consider the Eclipse and other Group Ones.
"He's come back happy from his race and is very fresh, he didn't have a very hard race.
"He would need supplementing for the Eclipse but he proved that he is up to that standard."
If Farhh does run at Sandown he is likely to come up against Andrew Balding's Dante Stakes winner Bonfire, last seen finishing sixth in the Derby.
Balding told At The Races: "He's fine, he'll be confirmed for the Eclipse next week and that is still the plan. He had a spin on Saturday and looked great."