I have seen a few people with power sandles and I was wondering how to obtain them. I have talked to the npc in selbina that starts test my mettle, he goes thru the whole spiel then tells me to get to it, but no matter what option I choose he doesn’t take Gil and the quest doesn’t show up in log. Is the quest broken or is their another way to get the power sandles? Any info would be helpful, thank you .

It’s been a long time since I did the quest myself, but I think you’ll just have to go to Davoi at this point and find that “jar” ??? Thing that’s there to get the sandals.

You don't even need the quest to get the sandles, just go to Davoi and find the "Jar" and click it to get them.