I wanted to port my Fotolia photos into my personal website, so those images would get another exposure route. Fotolia has an API, but it was going to require coding to get it to work and I didn't want to pay the $$ for the likely small return I would get, plus I was too lazy to try and figure out the implementation on my own. At one time I had my products on Zazzle on my personal website...they provided iframe code that I could drop in on my page and it worked great. I was hoping Fotolia had something similar, but no. Here's what the Fotolia rep said:
"Have in mind that the implementation/configuration of API Keys should be performed by someone with web development or IT knowledge, and that we cannot offer configuration support for API keys. We offer API Kits for easier implementation, please see the links above."
I hope I understood your question and my answer above is relevant.
edit: I just looked at your video link...I was thinking that my photo library from Fotolia would be on my website, but if one wanted to purchase a photo, they would be directed over to Fotolia to finish the transaction. It looks like your video payments are made right on your site.