It comes amid BnM's move to sell its recycling operations to the privately owned KWD Group in Kerry.
Bin companies could take over entire regions under a major shake-up of the industry.
More than 250 submissions have been made to the Department of the Environment following a public consultation on the proposal, according to the Irish Independent.
The current 'side by side' system sees waste collection firms competing to sign up individual homes, an arrangement that makes Ireland an outlier in Europe.
The news comes amid a protracted sale of BnM's recycling operations to privately owned company KWD Group in Kerry.
While the Competition and Consumer Protection Commission approved the move, the watchdog says the household waste collection market is not delivering strong outcomes for consumers and feels structural changes are needed.
Business correspondent Joe Lynam says it could end up costing households more:
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