The government is said to be considering giving the Central Bank power to regulate ATM operators.
The Irish Independent reports three out of four cash machines are handled by unregulated cash distribution companies.
Bank of Ireland and AIB have sold a combined 1,200 machines to unregulated operators in the past three years.
By the end of this year, only 25% of ATMs will belong to the banking system, compared to 100% in 2015.
