Theresa May has called for a “major national investigation” after results showed cladding on 95 buildings has now failed tests being undertaken in the wake of the Grenfell Tower disaster.

The Prime Minister made the proposal at Cabinet on Tuesday, after hearing how every piece of cladding tested so far on buildings from 32 different local authorities has been found to be potentially dangerous.

It comes after the firm that supplied the panels used in the cladding of Grenfell Tower stopped global sales for high rise blocks on Monday.

The Government has asked councils and landlords across the country to send samples of any potentially dangerous cladding to London for testing as soon as possible. Cambridge, Salford, Sheffield and Tower Hamlets are the latest councils to be named by the Department for Communities and Local Government as areas with affected towers.

During the cabinet meeting on Tuesday, Ms May told ministers: “There will need to be a major national investigation into what’s gone wrong, when cladding that's failing the tests has been fitted on buildings in this country over a number of decades.”

Officials later said the new investigation could form a second phase of the public inquiry already announced focussing on the Grenfell Tower fire, which has claimed the lives of at least 79 people.

Ministers are urging councils and landlords to send samples for testing faster, pointing out that they have the capacity to carry out 100 tests daily.

Grenfell tower fire Show all 42 1 /42 Grenfell tower fire Grenfell tower fire Local residents watch as Grenfell Tower is engulfed by fire Getty Images Grenfell tower fire London Fire Brigade said there has been a number of fatalities from the blaze Rex Features Grenfell tower fire The fire was first reported in the early hours of Wednesday and continued into the morning Rex Features Grenfell tower fire A local resident sees the fire over the rooftops @Ebajgora Grenfell tower fire A firefighter reacts at the scene of the blaze Getty Images Grenfell tower fire Residents watch as the blaze continues Getty Images Grenfell tower fire More than 200 firefighters have been fighting the blaze PA Grenfell tower fire London Mayor Sadiq Khan has declared the fire a major incident Getty Images Grenfell tower fire Police and fire services attempted to evacuate the concrete block of flats Getty Images Grenfell tower fire A woman runs to assist paramedics working at the fire at the Grenfell Tower Getty Images Grenfell tower fire Smoke rises from the building after a huge fire engulfed the 24 story Grenfell Tower in Latimer Road, West London in the early hours of Wednesday morning Getty Images Grenfell tower fire Fire fighters tackle the 24-storey building in West London Getty Images Grenfell tower fire Ambulances are stationed nearby Getty Images Grenfell tower fire Paramedics arrive with oxygen Getty Images Grenfell tower fire Emergency services believe it will take some time to establish the cause of the fire Grenfell tower fire Tens of people have been taken to five different hospitals across London Getty Images Grenfell tower fire A man comforts a boy after the tower block was severely damaged Reuters Grenfell tower fire Firefighters stand amid debris in a childrens playground nearby Reuters Grenfell tower fire Firefighters are stationed at the building Getty Images Grenfell tower fire Smoke engulfs Grenfell tower Rex Features Grenfell tower fire Lots of people donating water, food and clothing to St Clement's church for the residents of Grenfell Tower in Latimer Road Samuel Osborne Grenfell tower fire A man speaks to a fire fighter after a huge fire engulfed the 24 story Grenfell Tower in Latimer Road, West London Getty Images Grenfell tower fire According to the London Fire Brigade (LFB), 40 fire engines and 200 firefighters are working to put out the blaze. Residents in the tower were evacuated and a number of people were treated for a range of injuries EPA Grenfell tower fire A resident of Grenfell Tower is trapped as smoke billows from the window after a fire engulfed the building Getty Images Grenfell tower fire Members of the emergency services work at the scene of a huge blaze which engulfed Grenfell Tower, a residential tower block in Latimer Road Getty Images Grenfell tower fire According to the London Fire Brigade (LFB), 40 fire engines and 200 firefighters are working to put out the blaze EPA Grenfell tower fire Fire fighters tackle the building after a huge fire engulfed the 24 story Grenfell Tower in Latimer Road, West London Getty Images Grenfell tower fire The burnt facade of Grenfell Tower, the night after the fire in Latimer Road, West London REUTERS/Neil Hall Grenfell tower fire Local residents gather at a community centre near Grenfell Tower in Latimer Road REUTERS/Toby Melville Grenfell tower fire A resident in a nearby building watches smoke rise from Grenfell Tower in Latimer Road, West London AP Grenfell tower fire Police and rescue services operate near the fire at Grenfell Tower, a 24-storey apartment block in Latimer Road EPA Grenfell tower fire A man stands amid debris on the A40 after a serious fire in a tower block at Latimer Road in West London REUTERS/Toby Melville Grenfell tower fire A view of the empty A40 highway after it was closed in both directions, due to the proximity of the fire at Grenfell Tower block in Latimer Road EPA Grenfell tower fire Smoke rises from the building after a huge fire engulfed the 24 storey residential Grenfell Tower block in Latimer Road, West London Getty Images Grenfell tower fire Bodies are removed from the scene after a fire engulfed the 24-storey Grenfell Tower in west London Rick Findler/PA Wire Grenfell tower fire Bodies are removed from the scene after a fire engulfed the 24-storey Grenfell Tower in west London Rick Findler/PA Wire Grenfell tower fire Provisions on tables at the Westway Sports Centre close to the scene after a fire engulfed the 24-storey Grenfell Tower in west London Jack Hardy/PA Grenfell tower fire Beds are laid out in the Westway Sports Centre close to the scene after a fire engulfed the 24-storey Grenfell Tower in west London Jack Hardy/PA Wire Grenfell tower fire A pile of donated clothes, sleeping bags and water lie next to a police cordon near the burning the 24 storey residential Grenfell Tower block in Latimer Road, West London Getty Images Grenfell tower fire Signs asking for donations are seen outside the Notting Hill methodist Chruch Getty Images Grenfell tower fire Smoke rises from the building after a huge fire engulfed the 24 storey residential Grenfell Tower block in Latimer Road, West London Getty Images Grenfell tower fire A man is rescued by fire fighters after a huge fire engulfed the 24 storey residential Grenfell Tower block in Latimer Road, West London Getty

Regulator NHS Improvement has also warned staff to check hospital claddings, following fears the combustible type may have been fitted to health service buildings.

US company Arconic said on Monday afternoon it would discontinue sales of Reynobond PE for use in high-rise applications amid growing concern about safety.

The firm said in a statement: “We believe this is the right decision because of the inconsistency of building codes across the world and issues that have arisen in the wake of the Grenfell Tower tragedy regarding code compliance of cladding systems in the context of buildings’ overall designs.”

David Lammy suggests real Grenfell death toll was covered up to prevent a riot

It comes against a backdrop of growing anger about the way Government has handled information during the tragedy, with Labour MP David Lammy arguing that the real number of people killed at Grenfell may have been covered up to stop riots.

“What people say is that if you put the numbers out early, there could be civil unrest. That's what they say," he told BB2’s Newsnight.