In a small saucepan, combine the water and sugar. Heat over medium heat, stirring until the sugar is completely dissolved, creating a simple syrup.
Allow the simple syrup to cool to room temperature.
Halve the passion fruits and scoop out the pulp. Press the pulp through a fine-mesh sieve into a bowl to remove the seeds, retaining only the purée.
Combine the passionfruit purée with the cooled simple syrup, then add the freshly squeezed lemon juice to enhance the flavor.
Pour the mixture into an ice cream maker and churn according to the manufacturer's instructions.
If you don't have an ice cream maker, pour the mixture into a shallow dish and place it in the freezer. Every 30 minutes, stir with a fork to break up any ice crystals. Repeat this process for 3-4 hours.
Before serving, let the sorbet stand at room temperature for a few minutes to soften slightly, making it easier to scoop.
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