Culleton heads to court, vows 'best shot'

West Australian senator Rod Culleton has arrived at the High Court declaring that if he's "swatted like a mozzie" he'll still have done his bit in Australian history.

The One Nation senator is being challenged by the federal government over his possible ineligibility to run for parliament because of a larceny conviction at the time of the July 2 election.

The High Court, sitting as the Court of Disputed Returns, is holding a directions hearing on Monday for the case against Culleton and a second against former Family First senator Bob Day.

Mr Day's eligibility is being challenged on the grounds he received an indirect benefit from the government in relation to his Adelaide electorate office.

Flanked by staff members, Senator Culleton arrived at the High Court building.

"If I'm swatted today like a mozzie, well then I have done my bit in Australian history and no one can say I haven't given it my best shot," he told reporters.

Senator Culleton also wants to tidy up the courts.

"It's just a roulette wheel for the rich. Here I am representing myself," he said.