The new test checked the cladding in combination with the foam insulation that was used in Grenfell.
Nine blocks in Salford are the only local authority-owned buildings so far known to be affected.
Local Government Association chairman Lord Porter said buildings owned by housing associations and private sector landlords will also be on the list.
The location of some of the tower blocks may not be disclosed to the public because of intellectual property rights connected to the cladding systems involved.
At least 80 people died in the Grenfell Tower fire in North Kensington on 14 June.
Cladding put on Grenfell Tower in 2015 is thought to have contributed to the spread of the fire in the 24-storey block, which started in a fridge on the fourth floor.
Previous tests of cladding and insulation carried out in the wake of the fire were done by turning the material used to make them into powder and setting it off with a spark. But the newest test was done in real-world conditions, where cladding and insulation is built on a vertical rig and set alight.
The mock-up used a so-called PIR plastic foam, a type of combustible insulation, and aluminium panels with a combustible polyethylene plastic core.
This is the most flammable of the six combinations of insulation and cladding that will be tested.
Previously the core of cladding from tower blocks was tested, but Lord Porter said: “It was fairly evident from the Grenfell fire that there was more than just the panels that was a fire risk on that building.”