"Millions of people across the United Kingdom work in high-rise buildings, many of which could have cladding and insulation similar to that used in Grenfell Tower", said Frances O'Grady, TUC general secretary.
United Kingdom ministers have ordered social landlords in England to test tower block cladding.
The investigation, which could run alongside the public inquiry into the deadly blaze, comes as 95 high-rises nationwide - 100 per cent of those sampled - have failed safety tests.
The Panel will be made up of a range of building and fire safety experts, and will be chaired by Sir Ken Knight, former London Fire Commissioner and former Government Chief Fire and Rescue Adviser.
Following that development, BBC Wales has asked Welsh Government how many blocks are being tested, have now been tested, where those blocks are, and whether the Welsh Government was compelling councils to get cladding tested.
Arconic, the USA supplier of the cladding used in a recent refurbishment of the tower, announced Monday that it was stopping sales of the material for high-rise buildings.
Around 200 firefighters and 20 fire trucks have been deployed to tackle the blaze as rescue workers try to evacuate the building in Lancaster West Estate in North Kensington. All testing of those materials are "voluntary" for the private sector.
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"Regardless of the specifications and assurances we have had from manufacturers prior to these tests, if the results cast any doubts on our cladding's ability to resist fire, or could create other potential risks to public safety should a fire occur, we will take whatever actions are necessary, including removal".
And the government is still carrying out inspections on hundreds of other residential blocks.
The funding is in addition to 5 million pounds ($6.4 million) provided for the Grenfell Tower Residents' Discretionary Fund.
"However, due to defects with the phenolic foam leading to the build-up of algae, all six blocks are having the system replaced at the moment, replacing all previous cladding/insulation and replacing is with a mineral wool insulation system".
Reuters reported this week that a series of emails sent to and by an Arconic manager suggested it knew the panels would be used on Grenfell Tower.
Cabinet Secretary for Communities, Social Security and Equalities Angela Constance said: "While we're confident that in Scotland we have stringent building and fire safety regulations which contribute to keeping people safe, following the tragic events at Grenfell Tower it is imperative that we undertake a thorough and critical review of our regulations".
In the Commons on Monday, Javid said he would have "more information this week" on that work, but Healey wants answers as soon as possible.