University Hospital Galway says it's extremely busy with long wait times in the Emergency Department.
As a result of high numbers attending the ED, the hospital is postponing some elective procedures.
Portiuncula Hospital in Ballinasloe is also under severe pressure.
Urgent and time-sensitive procedures are being prioritised at UHG and patients are being contacted directly if their procedure is being postponed.
The hospital is advising that patients who attend the emergency department for routine and non-urgent treatment will experience very long waiting times.
Over 400 people attended the Emergency Department over the weekend and additional surge beds have been opened.
People are asked to only attend the ED if it is an emergency situation, and explore other options such as their GP, the Roscommon Injury Unit or out-of-hours service where possible.
According to the Irish Nurses and Midwives Organisation there are 63 people waiting for a bed at UHG.
It's the second highest figure in the country today, just behind Limerick at 113.
At Portiuncula Hospital in Ballinasloe, there are 32 patients on trolleys.
This is a very high figure given the size of Portiuncula Hospital, relative to UHG.
Across the country, 617 admitted patients are on trolleys.
