On Sunday, caretaker CM Devendra Fadnavis left for Raj Bhavan along with his ministers.
News agency ANI reported that Fadnavis had arrived at the Raj Bhavan.
The BJP remerged as the single-largest party in the assembly polls winning 105 seats while Shiv Sena won 56 seats.
Shiv Sena has insisted that the two parties had a '50-50' power-sharing agreement before the elections.
However, Fadnavis has said the Shiv Sena was not promised the chief minister's post for two-and-a-half years when the alliance was sealed before the 2019 Lok Sabha polls.
Congress vs Congress
It was Congress vs Congress over government formation in Maharashtra as the grand old party's two senior leaders contradicted each other with Milind Deora expecting Governor's invite for second largest NCP-Congress alliance while Sanjay Nirupam saying it was impossible.
The reactions came a day after Maharashtra Governor Bhagat Singh Koshyari invited Bharatiya Janata Party (BJP), the single largest party with 105 MLAs after the recent Assembly elections in the state, and its legislature party leader Devendra Fadnavis to "indicate willingness" and "ability" to form government.
Expressing his opinion on Twitter, Deora said: "Maharashtra's Governor should invite NCP-Congress, the second largest alliance to form government now that the BJP-Shiv Sena have refused to do so."