Place the chopped strawberries, sugar, and water in a saucepan set over medium heat.
Simmer for about 5-6 minutes, stirring occasionally, until slightly thickened.
Pour the strawberry mixture over a fine mesh strainer to collect the syrup. Use the back of a spoon to press the strawberries against the strainer, extracting as much syrup as possible.
Set this aside.
In a pitcher, combine the strawberry syrup, lime juice, sliced strawberries and your beverage of choice.
Chill for several hours to allow the flavors to combine. Serve chilled over ice.
