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Do Worldpay's Hosted Payment Pages support in-app payments?

Yes, the Hosted Payment Pages can be used to support in-app payments via 'WebView'.

The best approach to provide a true native experience, is to render the payment pages within a 'WebView', embedded in a native mobile application.

For more guidance on 'webview' across popular mobile platforms, see these links:
Android - https://developer.android.com/guide/webapps/webview.html
iOS - https://developer.apple.com/reference/uikit/uiwebview