Senior BJP leader and defence minister Manohar Parrikar is expected to attend the meeting, people familiar with the matter said.
Parrying criticism that he did not have the majority support, Parrikar said with alliance partners his government's vote share had touched 50.5%.
He also mentioned the case of the Arvind Kejriwal government in 2013, when the AAP leader got the opportunity to form the government with the help of Congress support despite BJP emerging as largest party but short of majority.
In Goa, the Congress was outsmarted by the Bharatiya Janata Party (BJP), which won only 13 seats but managed to cobble a majority by garnering the support of the Maharashtrawadi Gomantak Party (MGP) and the Goa Forward Party (GFP) with three lawmakers each and two of the three elected Independent MLAs.
Whether or not his registration has been accepted by the Prime Minister Narendra Modi is unclear.
The Congress has taken umbrage to the Governor's move of not inviting them as they are single largest party that has emerged in the Goa Legislative Assembly polls.
All three GFP MLAs Vijai Sairdesai, Vinod Palyekar and Jayesh Salgaonkar took oath as ministers today.
He cited examples of the 2013 assembly elections in Delhi, the 2002 polls in J&K and the 2005 Jharkhand elections where BJP was not called despite being the largest party.
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The BJP, which won 21 seats, staked claim for form government with the support of four MLAs each of the Naga People's Front (NPF) and the National People's Party (NPP), one MLA each of the All India Trinamool Congress (AITC), the Lok Janshakti Party (LJP) and one Independent.
The allocation of portfolios would be done after the floor test on Thursday, Parrikar said.
The court said it was not possible to stop the oath-taking ceremony as the Congress has so far done nothing to prove that Mr. Parrikar's claim was wrong. "We will explore the possibility of forming the next government", party's state general secretary Sadanand Tanawade told PTI today.
The other contender was Thongam Bishwajit, a BJP MLA since 2015.
When contacted, Mr Gaonkar said, "I have given my letter of support to the BJP-led government".
The court took on record the CLP leader's communication to the Governor on March 12, 2017 staking claim, but noted that it was shown to be served only the next day after the Governor had issued an order appointing Parrikar as the Chief Minister.
"I appreciate Parrikar's deep commitment and love for the soil of Goa, but he should be sporting enough to accept the fact that the BJP has received drubbing under his leadership", he said.