Liverpool management will make a final decision over Dan Agger's future next week.
The Telegraph says the Reds intend to definitely resolve the future of Agger next week after the Danish centre-back informed Brendan Rodgers that he thinks his Anfield future is at an end.
Arsenal, Barcelona and hometown club Brondby have all been linked with the defender.
Agger came home during the pre-season tour of the United States and has indicated that he no longer wants to play for Liverpool.
Rodgers will deal with the situation over the next week and hold further talks with Agger, who has not been the subject of a bid from a rival club.
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