Ilori, 20, joined the Andalusian club in January until the end of the season and, despite making just two appearances, has impressed enough to leave sporting director Juan Carlos Cordero pondering a future transfer.
"For the experience he has he is calm, he has pace, moves the ball well. He has come in and fitted into the team very quickly," said Cordero.
"When the end of the summer comes we'll see if he is wanted by the Liverpool first team or if they want to sell or loan him.
"This is something that does not need to worry us now, it will come in due course as he continues to grow."
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