Take a sip of the Coconut-Lychee Lemonade cocktail at Animal Kingdom’s Drinkwallah. In a saucepan, bring to boil 1 cup water and sugar stirring until sugar is dissolved. A mix of limoncello, sweet lychee juice mixed with vodka and topped up with the double lemon mixer from Double Dutch. Pour in a pitcher. Add lemon juice, rum, lytchi and their syrup. However they are delicious. Of course, there’s more! Cigar City Brewing Company takes over the taps July 2-8 at Cabana Bar and Beach Club. DIRECTIONS. I love lychees! Cheers to regional craft beer at the Walt Disney World Swan and Dolphin Hotel! They are a strange and fairly unknown fruit to most people, some people saying they look like eye balls. Enjoy a sip on a Lemon Lychee Martini.