It's expected they'll be offered benefits for their constituencies.
Fine Gael, Fianna Fáil and the Greens will hold further meetings with Independent TDs today about the possibility of entering government.
Negotiations on a programme for government will continue later with a deal likely to come next week.
Yesterday the three party leaders met Independent TDs, offering them Jackie Healy Rae style deals in exchange for supporting the new government.
Today the parties will meet with the regional group of Independents including Roscommon-Galway TDs Denis Naughten and Michael Fitzmaurice, and Kildare South's Cathal Berry to discuss the same thing.
Deputy Fitmaurice says he won't need more than an hour to make up his mind: