Hey man!! I'm maybe getting here a bit late but in case you still want to repair your nokia play 360..:

I had exactly the same problem as you; my speaker fell down agressively to meet the floor. While the bluetooth device appeared to work perfectly, shaking it i realized that it sounded like the cone inside was detached. I tried to dissamble the speaker but couldn't find any hidden screws whatsoever... After surfing the web so much, I just found your post with no answers, and entered the despair, until... Yesterday!

So this it how it goes:

- You must first remove the black rubber square on the bottom of the speaker. You'll find the first screws right below.

- Once you take all of them off and open the case, you'll find another 6 screws there. Unscrew them, but don't try to dissamble the cone yet, it's not ready.

- Now, you must be very careful with this if you want to keep your speaker as incorrupt as possible: You have to lift the top cover of the speaker, the one with the black fabric, by slipping something flat and thin underneath. I used a screwdriver, but made a notch on the metal cover. Something in plastic may be more appropriate.

- You'll find another 4 screws below that cover. Unscrew them and you'll be able to pull off the cone from the whole case.

- As for the repairing itself, you'll probably have the same problem as me, which is that the plastic frame of the cone got broken in several parts. I used a two-component resine glue, suitable for plastics, secured it with the proper plastic grips, and let it dry for 24h.

- Depending on how many fissures you got and how accesible they are, I suggest you to unsolder the two wires that keep the cone still attached to the case., so you can reach and grip all of the cracks. (just remember to note which flap was for the black wire ans which for the red one.. )

- Now, rebuild and enjoy!!

Hope this gets to you in time and that you'll find it useful. At least my boyfriend is now very happy he won't have to spend another 100€ to console me for the loss

Take care!