Magento payment method for MOTO that sends a payment request to customers?

Is anyone aware of a service that can be used with Magento to process MOTO payments in a way that is PCI compliant?
Ideally we would speak to a customer on the phone, set up an order for them, then send them a link to their mobile or email to input a payment by card or paypal. Bonus points if it can talk to Magento API and mark the order as paid automatically.

submitted by /u/Jimantronic
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