O dan delerau’r Trefniadau Uwchgyfeirio, gellir galw cyfarfod eithriadol os oes pryderon penodol ynglŷn ag un o sefydliadau’r GIG. Codwyd pryderon ynglŷn â Bwrdd Iechyd Prifysgol Cwm Taf, a hynny’n wreiddiol yn sgil y camau gweithredu diweddar o ran gwasanaethau mamolaeth, a chafodd cyfarfod teirochrog eithriadol ei gynnal fis Rhagfyr 2018.
Under the terms of the Escalation Arrangements, a meeting can be called outside the usual meeting cycle if there are particular concerns about an NHS organisation.  Following the recent actions in respect of Cwm Taf University Health Board maternity services, a tripartite meeting took place in December 2018 to consider wider service issues.