Both teams were scheduled to leave for India on Friday and the Bushrangers - as the Victorian team is known as in the T20 format - were booked to stay at the Taj Hotel which was attacked by terrorists on Wednesday night.
"Given the circumstances, all travel to India have been put on hold. We are in constant touch with the BCCI and the governing council of the Champions League T20. We are also consulting our government and security agencies and trying to get extensive information on the situation," CA spokesman Philip Pope told HT from Melbourne.
"We are exploring all options and holding talks with everyone concerned. We also feel deeply for those to have suffered significant personal distress following the incidents. As of now, trips to India have been halted," said Pope, adding that there is no timeframe as such. "For the moment, we will wait for instructions."