Prepare the fruit by washing and slicing the lemon and lime. Do not discard the ends. Wash and hull the strawberries. Quarter the large ones (but leave at least two whole for the simple syrup). Wash and pick through the blackberries.
Add the ends of the lemon and lime along with two big strawberries to a small sauce pan. Add sugar and water. Bring to a boil and let cook for a couple of minutes.
Remove from heat and let it cool.
Add the rest of the lemon and lime slices, strawberries, blackberries and cooled simple syrup to a pitcher. Pour wine over it and chill.
To serve, add some ice and a couple of pieces of fruit to each wine glass and then pour the sangria over it.