A total of 116 people were injured, police in the canton of Valais said in a statement. 83 of the injured were still being treated in hospital on Monday.
On Sunday, the work of identifying the remains of the 40 victims was also completed.
So-called ice torches placed in champagne bottles are said to have caused the fire at a bar in Crans-Montana on New Year's Eve. The incident involved an explosion.
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