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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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.