A Sligo Leitrim TD says that consideration may have to be given to providing the Gardai with additional powers when it comes to non-essential travel.
Presently anyone caught travelling abroad for a non-essential reason can now be fined 500 euro.
However Gardaí currently do not have the power to arrest non-essential travellers.
813 people arrived into Dublin Airport yesterday on one day alone this week
Deputy Martin Kenny is the Sinn Fein spokesperson on justice and equality.
He says that more must be done to prevent non-essential travel: