The 21-year-old is enjoying a terrific season alongside his brother Inaki Williams this term.
The younger of the two has shone as a winger, managing 11 assists and 6 goals in 22 games in all competitions.
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Per The Telegraph, Chelsea want to sign Williams and an out and out striker.
The club wants to refresh their front line to ensure they can compete at the top end of the table.
Williams would be available for his release clause, which is set at around 43 million.