Keltbray and Linbrook Services, framework contractors for emergency structural services in London, were brought in to make the structures safe.
A 450t long reach machine was on site on Tuesday removing dangerous building fabric from a pub and a retail unit. The long reach machine allowed the work to be carried out safely despite the proximity of a Network Rail viaduct.
The fire damaged six shops on Chalk Farm Road, the flats above them, market stalls behind them and the Hawley Arms pub.
Camden Council confirmed that two retail units were deemed unsafe and had been demolished. It is not yet known what will happen to the rest of the structures, although the council has committed itself to retaining at least façade of the pub.
A Network Rail spokesman confirmed that although the North London Line and the line between Euston and Watford were affected on Saturday night, services had resumed on Sunday.
"There were just minimal effects on overhead lines and minimal damage. We were very lucky in comparison."
Around 100 fire fighters attended the scene on Saturday and 550 people were evacuated.