Ceballos previously indicated he would reveal his intentions after the conclusion of the tournament, but the Real Betis midfielder now plans to take more time over his decision.
Ceballos, however, was giving nothing away in the aftermath of Spain's 1-0 defeat to Germany in Friday's final.
"I'm screwed up and I do not think about the future now," Ceballos told reporters.
"I want to disconnect, spend my holiday with the family and, after a couple of weeks, I'll start to see proposals and think about my future."
Ceballos claimed the Player of the Tournament award after enjoying a breakthrough competition.