Either way, when you approach the client, you must consider what is a comfortable physical distance for a greeting in that country. In North America, we generally stand close enough to shake hands without stepping forward. But Asian cultures often keep a greater distance apart, while people in Latin and Middle East cultures tend to be closer. This is easier said than done. Then the American steps back again, and the local closes up, and before long a slow-motion chase is in progress.
Eye contact is another culture-specific issue.
A steady gaze is expected during an introduction. However, in many countries, such as South Korea, staring is considered impolite or challenging. A North American who tries to maintain continuous eye contact with a Korean may appear hostile or aggressive. Also, a person in a subordinate position is expected to avoid direct eye contact with a superior. As a general rule, if you sense that your eye contact is making someone uncomfortable, look away.