I think people are correct when they mention the ambiguity of the term in English, but I think I know what you mean. In Spanish, the spicy sensation of chilli peppers are called "picante". Other "spicy" (as from spice) flavors, such as mustard, we wouldn't call them picante although in English some people might say it's spicy. We would say they are "especiado" (literally means spicy, tastes like spices) but not picante.
I believe spicypicante chilli types of flavor all come from the Americas. Asian chilli are not exactly "picante", although for something so abstract as flavor it's difficult to make exact classifications.