Twinkly has its own Wi-Fi network to which you can connect directly, which works as an access point. 

The network is called Twinkly_xxxxxx (where xxxxxx are 6 unique hexadecimal characters for each Twinkly). This is the factory setting of the product just out of the box.

To activate the direct connection, simply access the WiFi configuration of your smartphone and choose the Twinkly_xxxxxx network from those available. Once connected, launch the app (which must have already been downloaded).