"On Friday, Nov 6, B S Yeddyurappa and the Reddy brothers will hold a joint press conference to announce the solution," Former union minister, V Dhananjaya Kumar told to reporters here.
Yeddyurappa and one of the Reddy brothers, Tourism Minister G Janardhana Reddy, held talks on Thursday, Nov 5.
Party leaders said that efforts would continue on Friday, Nov 6, to bring the warring sides for face-to-face talks and hopefully a solution would emerge.
The BJP central leadership was reported to have offered to sack Karnataka Rural Development and Panchayat Raj Minister, Shobha Karandlaje, who is said to be close to Yeddyurappa.
However, dissidents pressing for the Chief Minister's removal remained unmoved.
In Bangalore, Shobha Karandlaje on Thursday, Nov 5, said that she was ready to quit if it saved the Yeddyurappa government.
"But no one has asked me to (quit) nor do I know of the developments in Delhi," she added.