How to speak to a non-Muslim in order to invite them to Islam?

My question is maybe asked many times. I want to have some advices concerning how to speak about Islam (with a progressive way) to a non-Muslim friend, in order to invite this person to be a Muslim. Things to know: the person is by nature a smart and really nice person, high education, and has many qualities (many qualities a good muslim should have). And this person is a Buddhist but not praticing (more atheist). The person seems to be open minded enough to know about our religion. I really want to speak by myself (not show her videos or something like this).