NEC ECC: Conflict between Framework and PSC or ECC contract

We currently have an NEC3 Framework Contract in place with a Contractor that also can carry out consultant works. Which would take precedence if there is a conflict between a PSC or ECC agreed under this framework?

You can effectively divide the obligations of the contractor into 3 groups : those of a Supplier as listed in the Framework Contract (assuming it is an NEC contract); those as a Contractor under the ECC; and those as a Consultant under the PSC.

The answer as to which applies - as opposed to which takes precedence, which is not quite the right question - is to find out under what contract the work was being done.