The Board of Control for Cricket in India (BCCI), however, left the decision to the CAB.
A teleconference was held between CAB officials and their counterparts in the BCCI on the matches late Monday, where the local association pointed out the forecast of rains in the coming days.
However, the final decision in this regard will be announced on Tuesday.
Eden Gardens was slated to host two matches -- Sep 25 and Sep 27.
If Eden backs out finally, then the matches are likely to be shifted to Hyderabad.