The "St Trinian's" star has been enjoying a sun-soaked vacation in the Caribbean with Jack Dorsey, the American web developer who founded the popular social-networking site, reported Daily Star.
Cole, 25, and Dorsey, 36, rang in 2013 together at Russian tycoon Roman Abramovich's New Year's Eve bash in St Barts, and have since been enjoying a break on a luxury yacht.
Cole, who split from actor Enrique Murciano in 2011, was photographed cuddling up to Dorsey and giving him a massage.