Dr Groves is Chair of the NICE Medical Technologies Advisory Committee. He represents Welsh Government on the MHRA Devices Expert Advisory Committee (DEAC) and is Vice-Chair of the Committee. He served as a Committee member on the NICE Interventional Procedures Advisory Committee (2006-2009) and then joined the Medical Technologies Advisory Committee in 2009, serving as the inaugural Vice-Chairman from 2009-2015. Dr Groves is past-President of the Welsh Cardiovascular Society and previous Council member of the British Cardiovascular Society.

Dr Groves is also a Consultant Interventional Cardiologist based at the University Hospital of Wales, Cardiff since 1996. Dr Groves undertakes percutaneous cardiac procedures for structural and coronary heart disease and leads the Structural Heart Disease Interventional Programme in South-East Wales.