The Tumi kit includes a soft-touch pen, eyeshades, Malin and Goetz lip moisturiser, body lotion, mouthwash, striped socks, facial tissues, earplugs and a dental kit with Crest toothpaste.
It comes in both hard and soft-sided editions, allowing passengers to collect one each way.
The new offering is available to all Business Elite passengers on international services and was launched on July 1.