Pour vodka, vermouth, lychee juice, and lime juice into the pitcher.
Stir gently with a long spoon to combine all liquids.
Add whole lychees to the pitcher.
Refrigerate for at least 1 hour before serving.
When ready to serve, fill the pitcher with ice and stir for 30 seconds.
Pour into chilled martini glasses through a fine strainer.
Garnish each glass with a skewered lychee and lime wheel.
Notes
Store any leftover mixture in the fridge for up to 2 days without ice.Keep extra ice on hand for serving. Fresh ice helps maintain the proper dilution.Pre-chill martini glasses in the freezer for 15 minutes before serving.For a stronger drink, increase vodka to 2.5 cups and reduce lychee juice to 1/2 cup.Make a non-alcoholic version by replacing vodka and vermouth with lychee juice and sparkling water.