Abadi arrived in Najaf earlier in the day where he met with a number of officials.
The leaders of the blocs that participated in the elections are holding joint talks to form coalitions to win a parliamentary majority.
The Federal Supreme Court approved last Thursday an amendment by the Parliament to the electoral law, which requires the redo of the manual counting of votes.
Sairun bloc, which is supported by Al-Sadr, won majority in the May 12 parliamentary elections. Abadi's victory list came third.