The statement said the decision was taken to allow interested parties more time to "prepare and refine their submissions".
Earlier this week, RTÉ learned that Denis O'Brien's Digicel would not be going ahead with a bid for Eircom, which has debts of around €3.8 billion.
Eircom, majority-owned by Singapore Technologies Telemedia (STT), has been in talks with its owners about restructuring its debt for months.