Poké Academy's Lumiose City Map

[BugCatcher6]

Now I did not make this, but I am testing the info and it looks very solid.

Battle locations you can leave the area and come back, by leave I mean the screen has to change, mainly like from North to South or in and out of a building to get battles to respawn.

I am not sure if it is 1 per day per spot. I am still testing it.

Circled on the map is the Nugget NPC and you can see the Destiny Knot NPC, Beauty Aimee I believe her name is.

Still testing to see if it is daily battles, multiple battles, and so on.

[Slimjim367]

Wow, quite detailed though!

[BugCatcher6]

I wish I had the creatures name to give credit. I found it during an image search and it had no info with it.

Very accurate from what I am finding in testing.

It also looks like the battles are 1 per day.