Bin strike talks have been adjourned without agreement
It comes at the Leader of Birmingham Council is calling for an end to the dispute
Talks aimed at resolving the Birmingham bin workers' strike have been adjourned without agreement.
Members of Unite walked out on March 11 in a dispute over pay and jobs, leading to rubbish piling up in the streets.
Unite said that during Wednesday's meeting the council refused to put in writing what officials have been saying in public and media interviews.
A union spokesperson said that they believed the council was "telling untruths to the public" to imply the offer given "is better than it really is".
"They need to come clean."
Unite said council officers have made public references to items on an offer the union has not been given.
"Unite asked council negotiators to put in writing what has been said in public by them, so members could consider it as an official offer.
"Namely, that no-one would lose any pay, workers who moved sideways into new jobs would not lose pay in the long term and drivers would not lose pay by being downgraded, which would result in an £8,000 loss."
Unite said council negotiators refused to put this in writing.
"Unite has offered to continue negotiations for the rest of the week and over the bank holiday weekend. However, the council has said talks will not resume until next Wednesday."
The union added it had urged council leaders and Deputy Prime Minister Angela Rayner to meet the union's general secretary, Sharon Graham, at any point over Easter to get the issues addressed.
Meanwhile - the city council's leader has said as he urged the Unite union to help bring the industrial action to an end.
John Cotton has asked Unite to "come back to the table" and bring an end to the all-out bin worker strike that has caused misery for residents since it started on March 11.
While 18,000 tonnes has been cleared since April 4, Mr Cotton said the only way for a normal service to resume is for the strike to come to an end, but said the cash-strapped council has "red lines" that it will not cross during negotiations.
"Obviously, I'm not going to offer a running commentary on what happens in those negotiations but what I will say is what we cannot accept is anything that results in crossing our red lines around our equal pay liability, or indeed imperilling the transformation of the waste service.
"These are really important things that need to happen for the benefit of the citizens of Birmingham, but we're absolutely open to negotiations and bringing this dispute to a close which has gone on, frankly, for far too long."
The council leader said he is confident the majority of the mountains of waste left on the streets can be cleared by the end of this week, with crews currently getting rid of 1,500 tonnes of rubbish a day.
He said: "That's a combination of being able to get the crews out in our trucks to clear some of the rubbish, additional street cleaning we put in place, and also the extended hours that we've got at our tips, which enables residents to drop waste directly.
"We're confident that we can clear that backlog. We then focus on ensuring that we return to the normal collection rota.
"So over the course of this week, residents of the city should be seeing their bins being emptied on the day that they would normally expect it to be collected as the service returns to normal."
Birmingham has a "positive future ahead" once the bin strike ends, Mr Cotton said, as he urged Unite to engage in "reasonable discussion" to bring them to a close.
He said: "We need to bring this dispute to a close because this has been a serious issue for the city, and what I really want to be able to talk about is the positive story that we can tell about Birmingham, the record levels of investment that are coming in, the jobs and opportunities that have been created for Brummies across the city.
"That's what we need to be talking about, which is why it's so important that we bring the dispute to a close and that we continue with the work to remove that accumulated waste from the streets of the city.
"We've got a positive future ahead of us if we do those things, and that's what I'm absolutely focused on delivering that as leader of this council."
He added: "Come back to the table, let's engage in a reasonable discussion over what I believe is a fair and reasonable offer that's on the table.
"It's in everyone's interest now - the citizens of Birmingham and the workforce themselves - to find a way forward that works for everybody.
"We cannot continue with the situation that we've seen in the city but we do need to ensure that we're delivering a waste service that delivers for every part of the communities of Birmingham and delivers in a way that they need and deserve."