Healthcare is a devolved responsibility within the Eu. (Which is why Westminster could devolve responsibility to Scotland , Wales etc & Northern Ireland could have anti abortion legislation until recently ) The Eu has made 37 billion euro funds available for each member state (The UK got £2.8 billion) and has co-ordinated the bulk purchase of medical supplies and equipment .As you are aware the UK declined to participate which is why the Government managed to purchase just 30 ventilators in a week and why our front line staff are totally unprotected, five doctors have died and no one is being tested (if you believe that the current Government cant purchase them)
However Eu members are helping each other out with Germany air lifting patients out of Italy and Holland. The Eu are more focused on resolving the Socio Economic impact of the pandemic when all this is over.. and are looking to fill the capacity created by the UK leaving by gearing up their industry and production capability.
I would question which particular body is as much use as tits on fish.