Fianna Fáil's Jim O'Callaghan is reported to be under pressure from party colleagues to challenge Micheál Martin's leadership.
The Sunday Times says he's been approached by TDs unhappy with the presidential style approach used in the general election.
Some TD's criticised the party's constituencies committee for errors, giving the example of selecting Cllr Orla Leyden to run in Roscommon Galway for the General election.
The Fianna Fáil councillor lives 20 miles away from sitting TD Eugene Murphy, who lost the Fianna Fáil seat in the constituency.
Political Correspondent with INM, Hugh O'Connell, says a challenge to the leadership of Fianna Fáil is looking likely.