Sheffield Childrens NHS Foundation Trust
The trust says on its website  that it accepts private patients from the UK and internationally:
Private and overseas patients are welcomed at Sheffield Children’s NHS Foundation Trust and we have the facilities to offer our services to children worldwide.
The Forward Plan  implies that it will increase private patients:
The Trust would also expect to review its private and overseas patient activity following the removal of the private patient cap.
The trust intends to develop genetic screening as a commercial business:
Develop plans for expanded newborn screening, potentially developing collaborative arrangements with NHS, private and overseas partners.
In addition the trust intends to:
Implement Next Generation Gene Sequencer to provide increased capability to ensure competiveness. Collaborative approach with other diagnostic service providers under development.