In a Heritage Auctions catalog from 2019 (Internet Archive link here) you can see there were several sets of shoes he wore during that movie.
Excluding the more formal shoes, there were two style of sneakers; one clearly from Adidas (on page 12), and then multiples of the other style with various levels of weathering (pages 11 & 19-21) that are not so obvious as to the brand, and the descriptions don't mention it either.
I just saw that this pair of shoes is one of the Puma x Alexander McQueen. Probably between 2008-2010, I'm not sure. You can see here a photo of the shoes that someone from south-corea sold two years ago and the pair of shoes from the movie on a auction.