Southampton are battling to keep together their squad this summer.
The Daily Mail says Luke Shaw has offers from Manchester City, Manchester United and Chelsea.
Southampton have rebuffed offers so far for captain Adam Lallana with Liverpool needing to find and extra £5m to cover payments to Bournemouth.
Dejan Lovren, Morgan Schneiderlin, Jay Rodriguez, Calum Chambers and Victor Wanyama have also been subject to enquiries.
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