Vietnamese coffee style is not unique to Vietnam. It is popular in Laos, Cambodia, Thailand and other regions. The brewing style is low-tech, using a simple metal filter called a Phin(most likely originated in Cambodia in the 1800s) that is essentially a single-serving brewer and filter (just add hot water!). In Vietnam, coffee is not consumed on the run. People sit in cafés or at home and brew the coffee at their table leisurely in single servings. The Phin filter also works beautifully for making a tall glass of iced coffee.
The proper grind for the Phin filter brewing happens to be similar to what is needed in a French Press. The French, or Coffee Press, typically brews 3-6 cups of coffee and results in a slightly different taste from the Phin filter, but captures the essence of the coffee better than an electric drip brewer.
American electric drip brewers can do a good job with Vietnamese coffee simply by cutting back slightly on the amount of the grinds and using a cone-shaped filter, preferably. The resulting taste is nowhere near as intense as the Phin or Coffee Press, but still creates a superior coffee brew.