In a medium pot over low heat, bring the coconut milk to a simmer.
Remove from heat immediately, add lavender sprigs and cover for 10 to 15 mins.
In the meantime, wash and cut nectarines into wedges
Strain coconut milk with a fine mesh sieve into a large bowl. Press the lavender sprigs through the strainer to extract all the flavor. Add agave nectar and mix until well blended. Allow to cool for 5 mins.
Add the nectarines, mix until well incorporated. Cover and refrigerate until ready to serve.
When ready to serve, transfer to small bowls and top with small sprigs of lavender.
Drizzle more agave if you like the extra sweetness.