How to Save Photos & Videos from Messages in iOS 13 & iPadOS 13

Wondering how to save photos, pictures, and videos from Messages in iOS 13 and iPadOS 13? If you’re perplexed you may not be alone, as some users have discovered the changes to the photo and video saving mechanism in Messages app to be more confusing than before, leading some people to think the ability to save photos and movies from messages is no longer an option.