The full board went into talks at a luxury hotel in Singapore at about 11:00 am (0300 GMT) to debate the revamp of the world cricket body's structure and governance.
There was no word on whether the board would vote on the measures, which need the support of eight of the 10 full ICC members.
Sri Lanka, Pakistan and South Africa have all expressed dissent.
The proposals include setting up a powerful, five-member executive committee with seats reserved for India, England and Australia, the sport's most influential boards.
The "Big Three" would also control the distribution of a Test cricket fund to other members, while the Future Tours Programme, designed to give all teams a chance to tour other countries, will be scrapped.
Sri Lanka has called the revamp "illegal", saying an equal share in revenues among all boards is enshrined in the ICC constitution, while Pakistan great Imran Khan described it as "colonial".
The Pakistan Cricket Board said it was "not in line with the principle