During the mission "Contact Jibril-Al-Bara/Contact Halbech Informant" in Rome, you will finally meet with Marburg. Marburg absolutely hates Suave responses, so from the moment you meet him, always use them. Marburg will dislike you very quickly with Suave, which is needed if you want to provoke him.
Finally, during the mission "Intercept Marburg at the Museum of Art", you will have your chance. Before the boss fight, you'll be able to talk yet again. Always Taunt him, and he will dislike you even more. Eventually, when you are about to kill him, he will talk to you yet again. Once more, do nothing but Taunt him. If done correctly, you will piss him off to the point where he will yet again try to kill you. Simply take him out one more time for the achievement.