Plans for Sea The Stars for the rest of the year could be discussed in the next few days.
Races such as the Juddmonte International at York next month and the Irish Champion Stakes at Leopardstown in September are among the options likely to be considered for the triple Group One winner, who ran out a convincing winner of the Coral-Eclipse on Saturday.
"It's all in the mix. We haven't had the conversation yet about plans for the rest of the year. Within a few days we'll have got the answers to that," said trainer John Oxx.
The Currabeg handler reported the son of Cape Cross to have taken his exertions at Sandown on Saturday in typical fashion.
Oxx added: "He's come out of the race the same as usual. He's fresh and well, he's picking up well each day and behaving like he normally does after a race in terms of his weight gain, his appetite and all that - no problems at all."
Sea The Stars has been taken out of the betting for October's Prix de l'Arc de Triomphe at Longchamp.
Connections stated an Arc bid was unlikely in the aftermath of the colt's Eclipse win last Saturday, and Ladbrokes have now decided to remove him from their market altogether.
Spokesman David Williams said: "We're far from convinced Sea The Stars will go to Paris in the autumn and have decided the prudent thing would be to leave him out of the betting for the time being."