The drinks manufacturer is also adding a ginger and lime-flavoured variant to the range, Red Square Moscow Mule, as part of a wider £500,000 investment in the brand.
The Moscow Mule product, which has an ABV of 4%, is being rolled out this month. It will be aimed at 18- to 24-year old women.
Both drinks will be supported with national press, digital and point-of-sale advertising, created by England. The activity is set to break in September.
Red Square Reloaded contains caffeine, taurine and vodka. It was launched in 1999.