The local authority yesterday imposed a 28-day temporary stop notice on the site, an entire railway cutting in Haghill effectively filled over the last two months.
Council enforcement officials posted notices at the landfill yesterday - but local residents said earth-moving equipment had already been moved after the dump was exposed by The Evening Times.
The company running the facility, named as Clydeview Development Limited, is understood to have had an exemption to "store" rubble at the site from watchdog Scottish Environment Protection Agency (Sepa) temporarily, but no planning permission. Sepa is now also investigating the dump.
A Glasgow City Council spokeswoman said: "The council's planning enforcement officers have met with the owners of the site behind Appin Crescent to discuss all planning issues arising from the landfill work carried out there.
"Following this meeting, a temporary 28-day stop notice has been issued to the owner to prevent anymore material being deposited on the site and to give council officers time to fully assess this situation.
"We are very aware that this issue is causing worry for home owners and hope this stop notice will give officers the time to decide on the best way forward."
Susan McGurk used to have a 30ft deep railway cutting at the end of her garden. Now she has a muddy landfill. Today she said: "There have been no lorries for a day or two and the digger that was working there has been taken away. At least we shall have some peace now."
The council's temporary stop notice was served to a Jason Forster and to two companies both named as Clydeview Development Limited, one registered in the offshore haven of the Isle of Man and the other in Blantyre, Lanarkshire.
The Scottish company, created in 2009, has never filed annual accounts. This summer an action to have it struck off the company registered was suspended.
The Lanarkshire company shared an address with a firm called Strathclyde Truck and Plant Ltd, which is now in liquidation. That company's director, James Gaffney, was previously a director of the Scottish-registered company Clydeview Development Limited.
The temporary stop notice refers to a "former Railway Solum bounded by Birkenshaw Street, Appin Road, Aitken Street and Todd Street, Glasgow".
It states that work at the site was a "breach of planning control under section 123(1)(a) of the Town and Country Planning (Scotland) Act 1997 in that the development is being carried out on the said land without planning permission".
The notice also says that the "on-going unauthorised land engineering works" in the cutting were not in line with the city plan, which aims to protect both potential transport corridors and green spaces. Locals have long hoped the cutting could become part of a cycle path.