Adding new contacts to Apple's FaceTime video chatting software can be a little confusing, though FaceTime lists your most recent calls for easy access. This feature is less convenient when you don't want to display a list of all of your recent calls -- for example, if you use your computer or mobile device in a public location where other people have access to it. If you want to delete FaceTime calls, you have to clear the whole list.
Open FaceTime on your Mac, iPhone, iPod touch or iPad.
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Click or tap the "Recent" link in the bottom toolbar.
Click or tap the "Clear All" button to delete your recent call list.