Williams has been a star of the Swansea side which has reached the final of the Capital One Cup.
The Daily Mail report that Brendan Rodgers is keen to bring his former player to Anfield, though Arsenal may prove an obstacle to those hopes.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?