Rane, who met Fadnavis at the chief minister's residence 'Varsha' here, told PTI that he has sought two days to decide.
Fadnavis could not be contacted for his comment.
Rane quit the Congress late last month and floated a new party, the Maharashtra Swabhiman Paksh.
"In my meeting with the chief minister this evening, I was given an offer to become a part of the NDA. I have sought two days' time to think about the proposal," Rane said.
The Sena is a part of the NDA.
A prominent leader from the influential Maratha community, Rane, hails from Sindhudurg district of the Konkan region. He became Maharashtra's the chief minister of Maharashtra in 1999 when he was in the Shiv Sena.