Lawyers for Denis O'Brien have begun an application for an injunction to stop RTÉ broadcasting details of his banking arrangements with IBRC.
High Court judge Mr Justice Donald Binchy has agreed to put in place reporting restrictions for the duration of the hearing.
The High Court has heard the report, by RTÉ's business editor David Murphy, was supposed to go out on the Six One news on May 1, but it is now on hold.
Businessman Denis O'Brien contends that the story breaches his privacy rights by giving details of his loan facilities with the state-owned bank IBRC.
Opening the case, his barrister Michael Cush asked why Mr O'Brien was named in the report when RTÉ has said the focus of the piece is on the governance of IBRC, rather than the personal finances of his client.
IBRC has joined Mr O'Brien in making this injunction application. The case resumes tomorrow.
Reporting restrictions are in place as one of the affidavits contains the script of the RTÉ report at the centre of the row.