Dublin City Councillors have backed a motion calling for the new bin charge system to be scrapped.
The Sinn Féin motion also called for the establishment of a waste regulator and a waiver system for existing charges.
Another motion by People Before Profit called for bin collection services to be brought back under local authority control.
The ban on flat fee collections is due to come in around September and start applying to new contracts over the following 12 months.
The new system will see waste companies use a combination of standing charges, pay-per-lift and pay-by-weight pricing.
However the voluntary price freeze agreed by waste companies finished on 1 July and some price increases can be expected.
An industry source said some companies may be under pressure to cover increased costs but many will not and predicted increases of up to 7%.
However one Dublin waste company has already advised some customers of a €2.50 monthly increase for the flat fee service - a rise of nearly 13%.
There is a lot of competition in the market, with 26 main companies involved in waste collection.
Earlier, Minister for Culture Heather Humphreys defended the new regulations.
She said the new system is about getting people to segregate waste rather than necessarily involving price increases.
She warned that landfills will be full by 2020.
The Government is going to hold an incorporeal Cabinet meeting in response to a Dáil motion by Fianna Fáil seeking to halt changes to bin charges until an industry regulator is appointed.
The weekly cabinet meeting has been moved to Wednesday to facilitate the visit of Canadian Prime Minister Justin Trudeau.
A short meeting will have to be conducted over the phone in which Taoiseach Leo Varadkar and ministers agree a counter-motion to Fianna Fáil's one.
It is likely to reject calls for a regulator because the Government fears this could "spook" the waste industry and result in price hikes for consumers.
However, Fianna Fáil is insisting the waste industry requires a regulator to set prices and that party's motion will be debated in the Dáil tomorrow night.
RTÉ News understands efforts will be made tomorrow to try to get a compromise between the Government and Fianna Fáil ahead of the Dáil debate.
A failure to get an agreement could spark conflict on this issue between the Government and the party underpinning it.
Sinn Féin too will outline its opposition to the new charging system in the Dáil tomorrow night.
It has described the Fianna Fáil motion as a "spoiler" and says its call to scrap the charges is more far reaching.
Solidarity-PBP has also said it will campaign against the charges.
The new system will see waste companies use a combination of standing charges, pay-per-lift and pay-by-weight pricing.
A public awareness advertising campaign outlining the changes is set to be aired later this week.
