Reid said: "We have been engaged with consultants in very constructive discussions on fees – until Benedetta Tagliabue failed to respond. I am determined to continue to apply pressure on this matter."
Consultants on the troubled scheme agreed to a cap on their fees last month after the latest £37m jump in the price of the project.
In his report, published on Wednesday, Reid said the final cost of the scheme remained at £373.9m, although it raised doubt over two glazing packages.
The report said Bovis had allocated extra staff to finish the contracts, but completion dates had not been finalised.