The Finance Minister Paschal Donohoe has said he would contemplate bringing back the SSIA, 17 years after it was first introduced.
The Special Saving Incentive gave taxpayers €1 back for every €4 they saved.
The Governor of the Central Bank has proposed introducing something similar - but only if the economy continues to grow rapidly.
Speaking in Galway, Minister Donohoe said he was willing to consider it.
"I guess one of the things that we would need to weigh up, though, is that if people are putting money into an account they would feel that they should have the ability to decide when they take the money back out of the account.
"And that would be one of the things that we would need to consider.
"But it's certainly a proposal that as we look at decisions on Budget Day and beyond that, we'll be able to carefully evaluate".