Arbitration is another way to solve your negligence complaint provided you can obtain the agreement of the solicitors. Solicitors will not usually agree to arbitration unless it is established in writing when giving instructions.
A Counsel might suggest arbitration just after a matter has been put into Court.
The address of the "Institute of Arbitrators" is:-
International Arbitration Centre
24, Angel Gate
City Road,
London EC1V 2RS 8