What methods might work to get through to someone who is set on only hearing what they want to hear?

When someone is only taking the part of your words that suits them, what methods can you apply that might make them see the other side, the side they don’t want to hear?

I’m specifically thinking of when someone reveals to you that they are in a dangerous situation, but then they consistenly latch on to anything you say that allows them to confirm their own thoughts that it’s okay to stay in that situation.

Is there anything you can do in that situation, or do you have to sit back and watch for the wreckage? How long do you try for? Do you try forever, because if they are in danger then to ever stop trying is unforgivable? Or do you have to say, “I have tried my best, on your own head be it”?

I’m really looking for specific methods that might help though, apart from talking to them. Eg – showing them examples of other people who have been in the same situation…