The Enquirer understands that BAM and Balfour Beatty are now going toe-to-toe for the 100,000 sq ft, seven storey building which will be located at the city centre campus in Charles Street.
Sources close to the project said Kier, Vinci and Laing O’Rourke failed to make the second round of the bid race.
Construction is scheduled to start later this year, with completion expected in 2015.