In English, the verb "walk" is atelic. One could in principle walk indefinitely. Fatigue and aging limit the activity, but that fact is not an inherent part of the meaning of the verb. Hence sentences like "The escapee walked and kept walking."
However, suppose we have a sentence like "The teenager walked to the store." "Walk" may not be a telic verb, but "walking to the store" is a self-limiting activity. Once at the store, the teenager has completed the act of walking to the store. He can't walk to the store once he's at the store. So, wouldn't "walked to the store" be a telic predicate? And wouldn't predicates, rather than verbs, be telic vs. atelic?