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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.