"We will look into the matter by taking up the issue with the Union Mines Ministry," state Chief Minister Laxmikant Parsekar told reporters today.
He said the Union government can either slash the duty from existing 10 per cent to 5 per cent or completely abolish it.
The state's mine owners recently had written to the Prime Minister Narendra Modi, requesting him to abolish the export duty.
Parsekar said the export duty which was earlier 30 per cent was last year slashed to 10 per cent, following the demand by the state government and the mine owners.
Goa produces iron ore with 55-58 per cent Fe (ferrous content) and the state has traditionally been an exporter of low grade ore to China, until September, 2012, when the Supreme Court had banned mining in the state, following allegations of illegalities.
The ban was lifted in April, 2014.