The MGP, Goa's oldest regional outfit, will however support the Congress for the two Lok Sabha seats in the state.
During the early hours of Wednesday, two of the three Maharashtrawadi Gomantak Party (MGP) MLAs-- Manohar Ajgaonkar and Dipak Pawaskar-- gave a letter to officiating Speaker Michael Lobo, merging their party's legislative wing with the BJP.
However, Sudin Dhavalikar, the third Maharashtrawadi Gomantak Party (MGP) MLA, has not signed the letter.
The BJP-led coalition in Goa began discussions on Sunday night to find a new leader to replace Parrikar, who had died earlier in the evening.
Senior BJP leader Nitin Gadkari could not secure consensus between the saffron party and its alliance partners in the state.
The move is likely to pit the regional party against the BJP in all the three Assembly seats of Shiroda, Mandrem and Maspusa, where by-elections will be held along with the Lok Sabha polls in the state on April 23.
Goa leaders Subhash Shirodkar and Dayanand Sopte had last month resigned from the opposition Congress and also from the state assembly to join the ruling BJP.
Earlier in the day, the Supreme Court had refused to stay the swearing-in ceremony after the Congress, which had emerged as the single largest party, had objected to the Governor's decision to invite the BJP to form the government.
Sources told CNN News18 that the BJP central leadership will take a call on Parrikar returning to Goa as Chief Minister. The BJP Parliamentary Board will be meeting at 6 to discuss the issue
The counting began this morning for 40 Assembly seats in Goa. As many as 215 candidates are in the fray. A record- breaking 81% polling was reported in the coastal state on March 3.