I can't really say how this works concretely for Fi types but as a Fe type, I often take that the "people say it is so, then it probably is so, or something close to that at least" type of reasoning for most things. Of course this leads to trouble because people say all kinds of things, but even then, it's an external conflict of values, not an internal one. I also don't really think in terms of "my values", people talk about those here all the time, IRL people don't make statements like that, they either express values or act accordingly... for me, there are just values (generally) that I either share or don't chime with, it's easy to see which values are generally considered the "best" in whichever context and so on...
Fi appears much more harmonious and subtle about values, doesn't bring them up in conversations. Only if you do something that they really don't agree with, you'll notice it. I'm saying, you'll feel it in your skin. They don't like it one bit. I still think they are far more likely to leave your company than try to impose their values on you. Might chastise you in some way though, make you feel like a bad person without ever outright saying it. Establishes friendship by recognizing individual differences/similarities like personal attributes*, creating unique bonds with people.
Fe might not really talk about values either, at least not all the time lol, but they never stop expressing them in some ways. Showing off engagement rings and stuff, it's all Fe. Might be into various causes that have nothing to do with one another, or if they have a bit more Ti might be pretty ideological. Tries to enlighten you about what's good, important and worthwhile in life. Makes friends by recognizing more general differences/similarities ("Oh lol I grew up in Paris too, we have so much in common yadda yadda"), and by sharing emotional experiences, i.e. misery loves company.
* not saying that Fe types don't notice these or enjoy them... but in initial conversation, Fe wants to establish a tone, and it's easier to do that by looking for commonalities instead of trying to immediately pick up what makes this person distinctive. There are exceptions so this is more of a guideline than a rule.