Plans to reorganise maternity services in Cardiff and the Vale of Glamorgan will be examined in public meetings.
An eight-week consultation has been launched by the Cardiff and Vale University Health Board (UHB) to discuss proposals for local services.
The first meeting is at Barry Memorial Hall on Wednesday (1800-2000 GMT), continuing until Thursday, 25 November.
Maternity care would be transferred from Llandough Hospital to one unit at the University Hospital of Wales (UHW).
A second proposal is to end inpatient services at Rookwood Hospital in Llandaff.
On average only one baby a day is born at the six-bed midwife-led unit at Llandough, which opened in 2005.
The Cardiff and Vale UHB proposed its closure in the document, Making a difference.
Maternity care would instead move to the UHW, the city's main hospital, which has a larger midwife-led unit as well as a consultant-led service.
The space made available at Llandough would be used to relocate neuro and spinal rehabilitation services from Rookwood.
It is also suggested that the John Paty Day Hospital and the Elderly Care Assessment Service (ECAS) should be moved from the Rookwood site.
The consultation will end on 10 December and a decision is expected in January.