You can import contacts from Yahoo Mail, Outlook.com, AOL or from other email providers. If you want to import contacts from a CSV/vCard file, you'll still have to switch to the old interface.
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Google uses a third-party service called ShuttleCloud for importing contacts. "To continue, you'll need to give ShuttleCloud temporary access to your contacts data, including names and email addresses," informs Google.
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Another missing feature was restoring contacts. You can now "restore your contacts to any state within the past 30 days, recover deleted contacts, undo an import, or undo a merge."
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Exporting contacts and printing contacts still require to go back to the old UI.