In a saucepan or skillet over medium heat, add butter
Let it melt and cook until it begins to lightly brown and smell nutty
Add bananas (roasted or raw) directly to the pan
Mash them into the butter until mostly smooth
Add brown sugar, cinnamon, and salt
Cook for 10–12 minutes, stirring frequently, until thick, glossy, and slightly caramelized
Remove from heat and stir in vanilla extract
Transfer to a blender
Blend, adding 2–4 tbsp milk as needed, until smooth but still thick
The consistency should be pourable but dense, like a thick smoothie
Let cool completely.
Store in an airtight container in the refrigerator for up to 5 days. It thickens as it refrigerates and will need some stirring with hot espresso to loosen up for the next latte.