Dalglish has been released by first division playoff finalists Norwich City, and joins Marlon Broome on trial with the Clarets.
He was allowed to leave St James Park under the stewardship of Ruud Gullit, he had been brought to the North East by his father Kenny Dalglish when he was in charge of the side.
Last season Burnley missed out on the first division playoffs by a single spot, for more information check out Clarets MAD.