A meeting of the St Vincent's Healthcare Group board in Dublin has ended after four hours.
Proposals to bring the salaries of three senior staff into line with public pay policy and possible new governance arrangements were due to be discussed.
The changes could see the appointment of a new manager to St Vincent's public hospital and current group Chief Executive Nicky Jermyn being paid entirely from private funding.
The group is expected to revert back to the Health Service Executive on Tuesday with its proposals.
No further meetings of the St Vincent's Healthcare Group Board are planned before the meeting with the HSE.
The issues are said to be very complex involving the governance of the group, which incorporates St Vincent's University Hospital, St Vincent's Private and St Michael's Hospital.
The three senior staff posts being examined are the group CEO with a salary of €292,600, the Director of Finance and Company Secretary with a salary of €140,800, and the Director of Nursing with a salary of €96,400.
All three posts have part of their salary privately funded but no charitable donations are involved.
Any changes will be complex because there are public pension rights to HSE funded salaries and how pensions in the future would be funded is another issue to be resolved.
Yesterday, chairman of the group Noel Whelan and its deputy-chairman Stewart Harrington met HSE head Tony O'Brien and senior officials to discuss compliance with public pay policy.
Another proposal made was to reduce the pay of certain staff.
The St Vincent's group will appear before the Public Accounts Committee next Thursday and the aim is to have a resolution before then.
Former Central Remedial Clinic chief executive Brian Conlan will also appear before the PAC next week.