The HSE received 348 allegations of financial abuse of over-80s last year.
There were also 322 claims of physical abuse of people in this age-group.
Despite the pandemic, the HSE's national safeguarding office received over 10,200 concerns of abuse last year - down just 9 percent on 2019.
Three-quarters of them allegedly took place within the health service, and 25 percent in the community.
The most frequent type of alleged abuse is psychological, followed by physical.
The concerns contain nearly 11,900 separate allegations.
Nearly 3,500 involved over-65s.
There were 288 allegations of neglect of over-80s, along with 53 relating to sexual abuse, and 497 connected to psychological abuse.
Sinn Féin's health spokesman, David Cullinane, says new laws are needed to address the problem.
Of all the concerns of abuse last year, 22 per cent were allegedly committed by family members.