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The 24-year-old who plays for Norwegian side Molde has had trials with Middlesbrough in the past, as well as previously playing for Bochum, Hanover, Norwich and Skeid.
Lindbaek who has a ratio of 1 goal every 2 games, is available on a Bosman free transfer, and could sign for the Dons in the January transfer window.
He is keen to play in Britain and his agent has confirmed that Aberdeen have his details.
It is thought the Dons will have the player watched in the remaining games of the Norwegian season.