In a meeting scheduled for Thursday evening at the President's Residence, Netanyahu and Blue and White leader Benny Gantz will brief the president on the progression of negotiations for the formation of a unity government.
Since core issues remain unresolved including who should lead the government and what the make up of coalition members will be, the president is likely to grant the current prime minister the mandate to be first to attempt forming a government.
Netanyahu will have 28 days to build a coalition and if is unsuccessful may ask for additional time. It is the president's prerogative to grant an extension or not.
Failure to form a government finally means the mandate will then be given to Benny Gantz as the leader of the second largest faction
Rivlin's decision may be motivated by a desire to pressure both sides to increase their efforts at finding common ground.
The Central Elections Committee announced late Tuesday that the final vote count grants Likud an additional Knesset seat, totaling 32 out of the 120 seat Knesset.
Likud is now leading a technical bloc of 55 Knesset members made up of the far right and ultra-Orthodox partners in the outgoing coalition.
The additional seat for Likud came from the United Torah Judaism Party which has dropped from eight to seven seats.
There had been speculations among politicians on the left that a center-left government under the leadership of Gantz is possible if the ultra-Orthodox parties, defect from Netanyahu's bloc.
That option, unlikely as it was considered, is now impossible.
The official results of the Elections are to be made public on Wednesday.
Suspicion of election fraud was found in six instances and at after and the Central Election Committee had decided that their ballots will not be counted.