Ceballos, 20, met with Betis coach Quique Setien, club president Angel Haro and vice president Lorenzo Serra Ferrer to discuss his future on 4 July.
After the meeting, the midfielder was asked by Spanish daily Marca if he was leaving the Estadio Benito Villamarin for another club.
"You will see me speak in two weeks," Ceballos was reported as saying.
The 20-year-old caught the eye of several big European clubs after being named player of the tournament at this summer's European Under-21 Championship in Poland.
He has three years left on his contract at the Benito Villamarin, which has a release clause of €15m (£13m).
Atletico Madrid and Juventus are also reported to be monitoring the player, while Betis would like to keep him in their squad for at least one more season.
Ceballos said last month that he was flattered by the interest shown in him by La Liga champions Real Madrid.
"When big clubs express interest in you it is because you're doing things right," the young playmaker told AS. "It's nice [to be linked with Real Madrid].
"I am calm. My target is to beat Germany [in the final] and when I finish the European Championship, I will sit down with my agents and evaluate the proposals.
"My future right now is at Betis. I have three years left on my contract with Betis and I am calm."
Ceballos scored two goals in 30 La Liga appearances for Betis last season.
Meanwhile, Real Madrid have completed the signing of left-back Theo Hernandez from city rivals Atletico for a reported fee of £22.8m.
In other transfers involving Los Blancos, full-back Fabio Coentrao has been allowed to join Sporting Lisbon on a one-year loan, while his Portuguese compatriot Pepe has moved to Besiktas on a free transfer.