I agree with the above posters. I would approach him without looking him in the eye. Try flirting coyly, looking at him from the side, then hiding your face with your hand, and peaking out. Maybe giggle a little when you do it. Imitate him by blinking if he blinks, bob your head if he does, stick your tongue out at him if he does it to you. If he talks or does other types of imitations, always imitate them back to him.
One that has worked well for me is to sit on the floor and talk or sing quietly. Usually the bird will come down fairly quickly to investigate and check me out. I think it makes me less threatening to become lower than they are.
Play silly games like peak a boo. You can hide under a blanket or behind the couch. Sing for the bird and try dancing as well. Conures seem to really like to dance.