I have this instrumental music on my computer, but it has no information attached: https://drive.google.com/file/d/0B5jOXzxlxbMhdEM1YWlxLTRtZTA/view
Like the name suggests, this song is a remixed cover of Vivaldi. This is confirmed on this Discogs page:
Written by: Vivaldi.
The original piece is The Four Seasons, Winter, 'Allegro non molto'.
Not sure about the details, but YouTube says it's Vivaldi, and I have no reason to disagree with them. (It's been years since I listened to any Vivaldi, but he had a very specific style he liked -- enough that people like to joke that he wrote the same concerto 500 times -- and the recording you posted definitely has that sound to it.)
It looks like they have another version of this here.