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Unless you are a Toydarian or a Hutt it is hard to resist being persuaded. We know they work on the weak-minded and to that Qui-Gon Jinn adds that the greedy (for which read Watto and Jabba) can resist too. But, note, that is only resistance. Not immunity. For any sufficiently powerful Jedi surely even that reistance could be overcome.
The Star Wars universe shows us it can. The for instance comes in Star Wars: The Clone Wars: Season 2: Episode 5 (the Genndy Tartakovsky TV series) where Padme's Captain Gregar Typho falls foul of Yoda's mind manipulation despite, you'd think, having a sound and strong mind. This scene of crude trickery triggered this train of thought and made me think rather less of Yoda.
Given all this, surely everyone would be suspicious of any negotiations carried out with the Jedi present. If they came to my planet I'd have them chained and locked up before they could say "Sith". Also I'd have the meeting filmed and watched elsewhere by independent witnesses to ensure no tricks were pulled. Any race that was immune would surely become the instant choice for a negotiator or diplomat. Droids? They might be the ones you are looking for.
It'd be great to see some Jedi try to cope in a setting where the mind tricks were off limits. Where suspicion of any use of force powers made them act like mere mortals and cope without. That'd teach the smug sonsabitches a lesson or two. Force your way out of that why don't you.