The company, which makes the fabrics Lycra, Cordura and Spandex, has approached a number of UK hotshops with a brief to create a global corporate campaign.
The search process is being managed and co-ordinated from Invista's Geneva office by the company's global brand and communications director, Bruce Rowley.
Rowley, a former group account director at Saatchi & Saatchi Hong Kong, was in London last week and held meetings with a number of agencies.
The move marks the first time Invista has embarked on a high-profile campaign for its fabric brands. The company is also understood to be on the look-out for a media agency to roll out the campaign internationally.
Invista was formerly the fibre and fabric arm of the US chemicals giant DuPont.
DuPont sold the business to the Wichita-based company Koch Industries in April 2004 in a deal worth $4.2 billion.
Invista has global sales in excess of $9 billion, and has 24,500 employees globally.