Gil was Tottenham's first outfield signing of the summer transfer window - signing for Spurs in a £25million deal from Sevilla.
However, he has failed to cement a regular place in the first XI under Italian manager Antonio Conte.
Therefore, the 20-year-old could be interested in completing a loan move to get more minutes under his belt.
Italian transfer expert Fabrizio Romano reports Valencia are pushing to sign Gil on loan but Tottenham have not yet decided whether to let him go or not.
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