Normally you would stop the ECAM whilst cleaning up then continue the ECAM until ECAM actions complete.
Then when safe above MSA after perhaps consulting your company Engineering you would go ahead and using the QRH conduct the Engine relight procedure.
Then the commander will decide the safest course of action, either to return or continue.
No urgent rush.
The Engine will first try to relight anyway and most likely your later attempt won't work.
Remember you must fly the Aircraft first, do the immediate ECAM actions down to securing the Engine, then clean up, then complete the ECAM and get above MSA.