I have been asked to reply.
The responsibility in this instance rests with the Welsh Assembly Government. They do not maintain central records of the number of refuge places.
The Assembly Government are committed to tackling the problems faced by women in society, in particular domestic abuse. In March 2005, in partnership with a number of agencies and organisations, they published Tackling Domestic Abuse: The All Wales National Strategy" which sets out their approach to tackling domestic abuse, including the provision of refuges.