In a large bowl, whisk together the all-purpose and almond flours, sugar, baking powder and salt. In a separate bowl, whisk together the oil, eggs, vanilla, milk and yogurt. Add the wet ingredients to the dry and stir together until just combined.
Preheat a griddle pan over medium heat. Grease the pan with the butter. Pour 1 tablespoon of the batter per blini onto the hot griddle. Cook until small bubbles begin to form on the surface, about 1 minute. With a spatula, flip the blini and cook until golden brown on the reverse side, another minute. Repeat with the remaining batter.