The three-member committee, headed by the BCCI president Jagmohan Dalmiya, concluded its hearing on the matter on May 15 and now just have to decide on the action to be taken against the tainted cricketer.
Vice-presidents Kamal Morarka and Ranbir Singh Mahendra are the other two members of the committee.
The crucial meeting was being held after two rounds of hearing amidst reports that Kale in a letter to the BCCI president has admitted the allegation that he tried to bribe his way into the Indian team.
Both Kale and the BCCI president, however, have refused to comment on the reports.
The bribery issue, the biggest controversy to hit the Indian cricket since the 2000 match-fixing episode, came to light in mid-November when the two selectors Pranab Roy and Kiran More, alleged that Kale had offered Rs 10 lakh to each of them for a place in the Australia-bound Indian team last year.
Based on the complaints, the Board suspended Kale and ordered an enquiry by chairman of the Bar Council of India D V Subba Rao. The enquiry found prima facie material against Kale on the basis of which the Board's disciplinary committee framed charges against the cricketer and issued a show cause to him.
The Board's decision on the bribery scandal has been delayed as Morarka was abroad on a personal trip.
He also failed to attend the May 15 meeting when the committee concluded its hearing on the case.
In Wednesday's meeting none of the concerned parties are going to appear and it would be held only between the members of the committee constituted to investigate the matter.
The Board had earlier heard all the parties - national selectors More and Roy and Kale.
The two selectors had brought one witness each to buttress their charge that Kale had wanted to buy his place into the Indian team on the last hearing.
Meanwhile, the Maharashtra cricketer, who has played in a lone One-day International, has repeatedly claimed to be innocent and expressed confidence in emerging from the controversy with his reputation intact.
Kale has already been suspended from playing all BCCI tournaments until a final adjudication in the matter by the disciplinary committee.