In the press conference that was just held the minister of public health commented that he had been on a conference call with his Italian counterpart that had strongly advised him to shut everything down NOW, and not make the waiting mistake they did in Italy.
They, and almost every other European country, have already made that mistake. This decision is comparable to what Italy did on February 29th when they had 10% of the cases they have today. But Denmark is (if you correct for the smaller population) already at 60% of the cases that Italy has.
Switzerland and Norway are in that same boat. Spain is getting there, it's the country whose numbers are growing the fastest. France has elections on the 15th, 'nuff said.
Only Germany is comparable to that 10%, and they aren't doing anything either. They do have more ICU beds than others, but it isn't a great consolation.