Supported contact centres may be asked by family solicitors, social workers, mediators or the court to provide information on the dates and times that you use the centre, but they will not make any notes about what happens within the session itself. This is explained in the Judicial Protocol.
On occasions where there is a safeguarding concern, this will be prioritised and the centre have a legal duty to pass on this information to the relevant authorities, which usually will include them writing a report, in line with Local Safeguarding Children Board procedures.