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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.