The meeting explored all options to strengthen the party before the 2014 elections.
Singh said a formal decision on BSY would be taken at a BJP parliamentary board meeting but indicated the return of the Lingayat strongman was only a matter of time.
Every decision will be taken in the forum concerned and would be known soon, he said.
A senior BJP leader from Karnataka said: The return of Yeddyurappa to BJP is almost certain. It is going to be unconditional. And it would be in the interest of both the BJP and Yeddyurappa.
The responsibilities of the ex-chief minister would be decided by the central core committee of the BJP in a week.
Yeddyurappa had quit the BJP in April 2011 after he was removed as the chief minister by then party president Nitin Gadkari following charges
He later formed the Karnataka Janata Paksha (KJP).