The 20-year-old has also been linked with the likes of Inter Milan and Arsenal.
The Mirror reports that Southampton boss Nigel Adkins is confident he can complete the signing of Boilesen this week.
The Saints are reportedly planning to make a £5million move for the defender.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.