I am so confused!

:cursing:

On the Burberry website, they have these Check Slippers that are super cute. I want to get them, but I have two questions, and I am wondering if you can help me out.​

Burberry - CHECK SLIPPERS

1. Can they be worn as flats?

2. I wear a size 7, which is 37 in European. When I click 'Size,' it only says Small, Medium, Large and Extra Large. What would a 37 be? Small or medium?​
 
Those look great- but I think they are dedicated house/travel slippers. I can't exactly tell, but the bottom is probably fabric or a delicate leather that would get thrashed if worn outside. I think a size 37 would be a medium?