Sport says Barcelona are in contact with Williams and his representatives.
They are following the young winger's situation - and are considering trying to sign the 21-year-old in the summer transfer window.
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However, the finances can become a problem - as Athletic Bilbao will not release Williams for less than 50m.
Barcelona will therefore be forced to sell players before they can try to sign Williams - and so the club has also identified cheaper alternatives.
Williams extended his contract with Athletic Bilbao last December. The new agreement runs until the summer of 2026.