This isn't happening in the rest of the world. ( Except some dictatorships)
Some minor outliers like you mentioned, eg. Italy. But these are getting handled. It will not spread anymore like it did in China.
It's possible that some parts will need extra handling, but sharing information is the key for handling this.
Yes, China did some weird stuff with information in the beginning, but it seems there is not really much reason to suspect they're hiding information anymore [1,2]. The responses by free-er nations have been much milder with more reliance on self-quarantine. Let's hope that that works. And let's hope there will be sufficient testing to stay on top of things.
[1] https://www.vox.com/2020/1/27/21082354/coronavirus-outbreak-...
[2] https://www.vox.com/2020/3/2/21161067/coronavirus-covid19-ch...
We will see what the best strategy will be, the hardest work is now for China, South Korea, Iran and Italy.
The rest will learn from them.
This is not going to be the end of the world as we know it but I think it will take quite some more time before it's behind us.