Having been brought up in New Mexico-Arizona, I was taught to avoid direct eye contact with native Americans, particularly the Navajo. To them, it is invasive and impolite. The same holds true for many Hispanics in the region. It goes along with several other English and northern European practices that are offensive to many peoples. Excessive heartiness and exhuberance may also be offensive.

The Chinese, and many other Asian peoples, avoid direct eye contact, considering it invasive.
www.kwintessential.co.uk/resources/global-etiquette/china-country-profile.html
My city has a large Asian component; direct eye contact with them, unless they have adopted corporate business attitudes.

The link, Traveling Among the Navajos, is instructive about contact with the Dine in their Navajo Nation.
Travel Navajo

Direct, staring eye contact I consider invasive. It is a way of trying to command a situation. I lose respect for the person that tries to dominate in this way.