Wash and dry the purslane. Remove the medium and large stems. If you have an abundant amount, you can use just the leaves and tops.
Heat the oil in a medium pot over medium heat. Cook the diced onion until translucent, ~5 minutes.
Add the greens, diced potatoes, broth, and salt. Bring to a boil, then reduce to a simmer. Simmer, uncovered, until the potatoes are cooked through, ~30 minutes.
Puree with an immersion blender, or allow to cool and blend in batches in your blender.
Serve immediately, with an optional splash of cream.
Notes
The cream is optional, but it does round out the slightly sour, lemony flavor of the purslane beautifully.
Nutrition facts calculated using spinach because purslane was not an option.