Using the Matrix powertools under Chrome, I was able to take it to the payment page on the Use American Airlines (Europe/Asia/Pacific) link. It priced out at €575.08.

I also got it to price at $640 on the book with Iberia link. Although the Iberia link took you through MAD both ways.

You have to do a little playing with your browser, install Greasemonkey or Tampermonkey and then install a user java script (and check for updates periodically). But IMO it is the best way to attempt to book fares found on Matrix.

ITA-Matrix-PowerTools - Userscript for Orbitz/DL/UA/AA/BA/CZ/IB/LA/LH/LX/TK