Did you post the payment batch yet?

Yes, the payment is posted.

You're making a simple mistake somewhere.  Check your work.

Jay, I provided screenshots with the data. You can see that on the first screen the invoice was applied on $216.
But inside the invoice, the Amount Due is $216.

Expected Result:
The Invoice Amount Due is $0.

The AR Invoice Batch transaction doesn't change once you post it.  What you're seeing is the original invoice transaction, not the current state of the transaction on the customer's account.  Go to Customer or Document Inquiry to see the current balance of the invoice.

What I should check?
Could you help me? 

My answer doesn't change, you're making a simple mistake.

Contact your Sage business partner, or call Sage tech support.

Bingo

Okay, in Sage 300 I can go to Customer or Document Inquiry to see the current balance of the invoice.
How I can receive the current state of the Invoice using API?
Because method ARInvoiceBatches returns the original invoice balance.

ARPostedDocuments