In a large mixing bowl, combine the rinsed chickpeas, cannellini beans, diced salami, and crumbled feta.
Add the minced red onion and diced cucumber to the bowl.
In a small container, whisk together the olive oil, red wine vinegar, dried oregano, salt, and black pepper until fully emulsified.
Pour the vinaigrette over the salad ingredients and toss thoroughly to ensure even distribution of the dressing.
Fold in the chopped parsley until just combined.
Allow the salad to rest for at least 15 minutes at room temperature or refrigerated to allow the flavors to penetrate the beans before serving.