If new contact added, then Create a note in Evernote by Jitu Das recipes

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When you save a new contact to google account, after syncing, Evernote will create a notebook ( keep blank for default, or create a notebook " Phonebook" in Evernote, then add the notebook name. After that you are done.

If

Google Contacts icon
New contact added

This Trigger fires every time a new Google Contact is created.

Then

Evernote icon
Create a note

This Action will create a new note in the notebook you specify.

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Explore more great ways to automate Google Contacts and Evernote