Sunderland midfielder wanted by Premier League strugglers
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Tottenham, Crystal Palace and Brighton plus Aston Villa have all also previously been credited with an interest in Neil, highly rated on Wearside.
Burnley are battling to avoid relegation and the Sun report they continue to keep tabs on him despite Sean Dyche’s recent sacking.
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Hide AdSunderland, meanwhile, are battling for promotion back to the Championship.
They face Sheffield Wednesday in the semi-final second leg of their League One play-off tie on Monday evening.
Speaking back in March and having been rested by head coach Alex Neil, the Sunderland midfielder opened up about his form.
Neil said: "Obviously no player wants a rest but when somebody actually tells you you need a rest sometimes you realise it probably was a good decision.
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Hide Ad“My performances from January onwards probably weren’t good enough by my own standard and I was very frustrated by that.
“I think the gaffer saw that when he came in and the first two games I played I wasn’t at my best, wasn’t at my sharpest."