Hi,
You don't need to "mesmerize" or "conquer" a woman what you need is:
Charm her, let her feel comfortable with you, show her the nice sides of you, interest her, make her feel good, give her good time, show her you feel good being with her (that you enjoy her company), let her feel she is special, let her feel she has some special meaning to you, treat her well and be: gentle, considerative and kind..... That's the real way to get her.... through her emotions....
Best regrds,