I'd rather not be surprised to see the ambulant street sellers at major intersections peddling original Toyota floor mats soon.
About a year ago, I was looking for a small hot glue gun. To my amazement I found them pretty much without having to search a lot... cheap too... so cheap, I bought 3. As I kept seeing them here and there in rather large quantities, I got suspicious and checked the internet. Sure enough, it was a recall item, they can suddenly overheat and melt (the gun!).
As for Toyota, this is a company which is "officially" (acknowledged by Toyota Int'l) represented in the country by a real company (Delta). I would think, that they could participate in the recall program if it is a vehicle they sold.