He played the entire 2005/06 season for them during his time with Hamburg. He ended the season as the leading goalscorer in the league with eleven goals and the fans there would certainly welcome him back.
It isn't thought he is in Owen Coyle's first team plans at Turf Moor right now and so another period away could prove to be beneficial for Bes who has just a year and a half remaining on his contract at Burnley.