The surveyor or surveyors will determine the fees typically in conjunction with the costs of the works. Therefore they typically lie with the Building Owner (person/s carrying out the works).
Where counter-notices have been served and works carried out at the request and expense of the Adjoining Owner (person/s adjacent to the works), surveyors fees in conjunction with the required benefit of the Adjoining Owner and where work was undertaken outside of the requirements of that which was needed to satisfy structural, safety or easements required for the Building Owner to carry out the works, the Adjoining Owner will be required to both pay for the extra works and the time of the surveyor preparing the fair determination of the matter.
The Building Owner will also, typically, be required to pay the fee’s of sub-consultants necessary for the Award to be determined. It is important to understand that Surveyors appointed under the Party Wall etc. Act 1996 are required to act under that function alone.
Reading your professionals Terms of Engagement will give you an indication of what they do and what they do not do, disciplines could be seen to be separated into three different areas including but not limited to: Design, Construction & Engineering and perhaps, in the case of larger projects, CDM.