If you want to make better and stronger connections with people, in both your personal life and your professional time, these two easy techniques will help you tremendously.
First, look a person right in the eyes, when you first meet, and remember the color of this person's eyes.
This makes your conversational partner feel acknowledged, appreciated and more comfortable with you.
Second, remember the person's name with the eye-color attached to it [this is a classic pnemonic technique]. For example, "Green Eyes - Maura Myles."
This will help you remember the person's name, long after the first meeting is over... and that goes a long way... in both business and personal relationships.