A Clare Fine Gael TD believes a coalition government between his party and Fianna Fail may be the only viable option.
Pat Breen's comments come as the 32nd Dail is due to sit again today, with no government expected to be formed.
Homelessness and the refugee crisis will be discussed today, while Enda Kenny is also expected to update the Dáil on efforts to form a new Government.
Following talks with a number of Independents in recent days, including Clare's Michael Harty, it has been speculated that Fine Gael would look to form a minority government without Fianna Fáil's support.
But Deputy Breen thinks the so-called grand coalition may be the only way to ensure stability