The agreement comes following preliminary discussions between the two parties yesterday.
Last night, they issued separate statements, saying they would be meeting to discuss how a minority government would operate.
However, it's not yet clear whether Fine Gael is now willing to support a Fianna Fáil-led government if it wins the support of enough independent TDs.
But Tipperary Independent TD Mattie McGrath says either way this it's a welcome development to get both sides to begin some form of proper talks on government formation.
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