<uses-permission android:name="android.permission.READ_CONTACTS" />
Be sure to check out our demo on how to read the IOS contacts from an IOS device as well. If you implement both demos in your own app you will have a true cross platform Firemonkey application. The API for reading the contacts is it’s own non visual component so you should be able to easily incorporate it into your own application.
Download Delphi XE5 Firemonkey Android Contacts Manager Demo