For the crostini: Preheat the oven to 400 degrees F.
Line a baking sheet with parchment paper. Set baguette slices on the baking sheet, and bake until golden, about 5 minutes. Sprinkle with a little feta cheese and paprika, bake another 5 minutes.
For the gazpacho: Add the cucumber, lychees, almonds, mint, cilantro, yogurt, salt and pepper to a blender or a food processor and blend until smooth. Taste for seasoning and adjust as necessary. Chill before serving. Top with warm crostini and serve.
*Can be found in the international aisle in supermarkets.