Kier won the first four-year deal back in 2011 and now faces a fight to retain its place as the framework comes up for renewal.
According to Scape the framework will be used to call off contract packages of £50,000 up to £4m and has been valued at £1bn-£1.5bn over four years.
Projects will include refurbishment and new build works on every public sector building type including schools, town halls, leisure and community buildings, police and fire stations.
The framework may also include design and other services as required for design and build works.
When Kier secured the new framework it expected to carry out over 2,500 projects valued under £500,000 and over 350 projects valued between £500,000 and £2m.
Interested firms must register with the Delta procurement website.