Here is how an ENTP could potentially trap me and win me over quickly. Keep in mind I am gay, but I think this could apply to any pair up.
First would be direct eye contact, and a sort of "Stare" from afar. Assuming I was physically attracted to him, I would reciprocate breifly, then look away, then attemt to look back without "looking". Then he would the approach, simply walking up to me and starting a conversation on pretty much any kind of topic (really, anything. Well ok not anything, nothing controversial or profane). Use that confidant, "I like you" charm. It's the boldness and sureness of getting what you want, but at the same time leaving all the options open at the same time. Then within 5 to 10 minutes ask "I like you, let's go somewhere...", then go somewhere. Anywhere. Have fun.
This won't work all the time. And this is leaving out all of the subtle details of body language and gentleness (but firm/boldness) of approach. It's also assuming I am equally interested. If I go with the flow of your Ne, then I likely am. If I try to deflect things, I am not interested.