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I looked at Benardi Honda parts on line and could not identify the actual part that you want other that the entire painted handle. You might call Brickyard Imported Car parts in Brooklyn, IN for a used one. I know they had a used 2015 EX in Blue a while back. I got the right mirror with cameras off of it a while back. They will mail you the part if they have it. I tis a good place to deal with. I have bought several major Honda Fit parts there in the last few years.
So you have the button but the rubber part is gone?
Not sure how this would happen.
Unfortunately, I doubt Honda sells the rubber portion alone.
You're probably stuck buying a whole new handle.
You could call salvage yards, body shops for opinions.
Even if you got just the rubber button portion, not sure how you could install it.
My guess is you are hunting for an entire handle...
But I don't really know, I'd just call around Body Shops, Salvage Yards, even Dealerships.
But my guess is they probably don't sell the rubber button as a separate obtainable part.