South Australian politician Bernard Finnigan will make another attempt to have child pornography charges against him thrown out of court.

Finnigan, a former Labor minister no longer in the ALP, is charged with 14 pornography offences, seven of them aggravated charges.

He previously was committed to stand trial in the Adelaide District Court, but a Supreme Court appeal overturned the committal order and sent the case back to the Magistrates Court.

Finnigan's counsel Michael Abbott QC again will argue there is no case to answer submissions.

A full day has been set down for argument in May.

It is expected that argument will focus carefully on the Supreme Court judgment.

Finnigan was not in Adelaide Magistrates Court for the latest proceedings.