Inspired by the latest COS collection, it will feature thousands of glass marbles that travel around the room.
"The installation merges the technical sensibility of the latest COS collection with Snarkitecture's approach to create a playful and interactive environment," said Arsham and Mustonen.
The project, on show from 8 to 19 November, will also mark the first time Snarkitecture has worked in the South Korean capital.
"We are thrilled to be working with Daniel and Alex for a third time," said COS creative director Karin Gustafsson. "Their experimental style and ability to engage with people through interesting uses of materials really strikes a chord with us."
Arsham and Mustonen co-founded Snarkitecture in 2008. The duo often create spatial installations and in the past have suspended 700 Air Jordan replicas in a Brooklyn menswear store and filled a Washington DC museum with almost a million plastic balls.
COS, which stands for Collection of Style, launched in 2007 as part of Swedish retail giant H&M with the aim to provide "design quality for an affordable price" to shoppers looking for high-fashion garments for high-street prices.
Over the years, the brand has partnered with several designers, most recently collaborating with Studio Swine on an installation for Milan design week that blew out mist-filled bubbles and working alongside Dutch designer Olivier van Herpt on a set of six vases 3D-printed from clay.