Mr Cunliffe said that the new allegations showed that the Overseas Investment Office (OIO) oversight was "practically non-existent".
In the House today, he asked Land Information Minister Louise Upston whether the OIO knew of the 2007 incident when it approved the brothers' investment.
Ms Upston confirmed that the OIO was aware of the case and was investigating it.
"As I have stated in the House before, if there are any breaches of any conditions related to an application, there are options that the office can take."
Even if the Argentine investors were found not guilty in relation to the pollution spills, they could risk sanctions if they did not disclose them when applying to invest in New Zealand.
The Grozovsky brothers' company Ceol and Muir came into the spotlight last month after it was linked to Mossack Fonseca, the law firm at the centre of the Panama Papers.
An investigation into that link by the OIO found no evidence of wrong-doing, though the investigation was reopened following Mr Cunliffe's subsequent allegations.