Raised in New Jersey, Odabash began her career modelling in Italy, then started making her own swimwear by hand, selling it to independent boutiques in Milan and building a global name. She opened a store in Notting Hill, London in 2007, followed by one in Chelsea; her swim, beach and ready-to-wear collections now reach over 48 countries and 250-plus department stores.
She collaborated with Speedo for its 75th anniversary in 2004 and with Gwyneth Paltrow, won Designer of the Year at the Salon International de la Lingerie in 2014, and was appointed an honorary MBE in 2021 for services to international swimwear fashion.