How can I reset iOS 9 Universal Linking settings?

You need pull down in opened page in safari from email, etc to see button "Open" (this button is system in safari). If tap "open" after

I accidentally tapped "mywebsite.com >"

universal link will work again under the old scheme.The result of this action preserves.

example

You can long-press on a universal link and it will give you an action sheet with an "Open in 'AppName'" option. Once you select that option it will default to opening the links in your app again.