It follows his attendance at the Oireachtas golf society dinner
The Chief Justice has said it is his view that the judge should resign, but Justice Woulfe has refused.
The Party leaders discussed the stand-off last week to chart a way out of the crisis but failed to reach a decision on the way forward.
Legal expert Dr Eoin O'Malley has said he don't believe the threshold of 'stated misbehaviour' required to remove a judge had been met.
He also said he doesn't believe the Oireachtas has the appetite to navigate the controversy.