Back in March, the Australian trio were banned for their roles in a ball-tampering scandal.
The bans given to Steve Smith, David Warner and Cameron Bancroft could be reduced by Cricket Australia (CA), the Daily Telegraph announced on Monday.
CA's board is set to meet early this week to discuss the lengthy bans handed to the three cricketers back in March for their roles in a ball-tampering scandal.
Smith and Warner were suspended for 12 months and Bancroft for nine for roughening the ball with sandpaper in a Test against South Africa.
At the time, the three players accepted their punishment.
Cricket Australia are reportedly set to reconsider the bans of Steve Smith, David Warner & Cameron Bancroft. The trio are all serving long-term suspensions for ball tampering.— TeamFA (@TeamFA) 19 November 2018
What's the point in banning people are cheating if you're going to let them off halfway through? 🤔 pic.twitter.com/Ed6Mot4SFP
A decision to be taken this week
The Australian Cricketers' Association said that a review of the trio's case showed grounds to have the punishment lifted and that a decision should be taken by the end of the week.
"These contrite men have suffered enough. Let them play," said Greg Dyer, head of the Australian players' union, in October.
Australia have struggled since they were banned, going down 5-0 on an ODI tour to England, losing a two-match Test series against Pakistan, and being beaten 3-0 by the same opponents in a T20 contest.
The Oceanians will host India across all three formats starting with a T20 encounter in Brisbane on Wednesday.