BJP sources said party president Nitin Gadkari will hold a meeting with Karnataka's Core Group and leaders of both the B S Yeddyurappa and Sadanand Gowda camps to sort out their differences.
Gowda is likely to continue as Chief Minister at least till the Presidential elections get over on July 19, the sources said.
"The BJP Parliamentary Board will take a decision on the current crisis and whatever decision is taken will be binding on us," Eshwarappa told PTI here.
The Parliamentary Board is the highest decision-making body of the BJP.
He said the differences between the BJP leaders in the state were not irreconcilable and will be sorted out.
The nine dissident cabinet ministers in Karnataka had taken back their resignations yesterday after the BJP promised to take "appropriate action" on their demand for leadership change in Karnataka.