Can anyone help me understand how Euro invoice payments are matched in the accounts

Hello cvist4ltd-gmail-, Thanks for posting your question here on the Quickbooks Community page, you would need to record transaction in Quickbooks manually as paid, then what you need to do is just exclude the payment in the banking section as you can't match multi-currency on the banking page to that invoice. 

To exclude the payment is if you go to the 

Banking tab>tick the box on the left-hand side on the transaction you don't want>click batch actions> exclude selected. 

This will then move the transaction from the for review to the excluded section for you and if you want to delete it totally of Quickbooks if you go into the excluded section>tick the box again>batch actions >delete this will remove it completely out of Quickbooks.