One thing European leaders always knew about Mario Draghi was that he’d never lose his cool.

When European Commission President Jean-Claude Juncker gathered senior policymakers on the 13th floor of the Berlaymont building in Brussels to thrash out details of the third Greek bailout in 2015, some were expecting trouble from Finance Minister Yanis Varoufakis.

But as Juncker worked line-by-line through proposed tax changes with a small group including Alexis Tsipras, the Greek prime minister, Varoufakis was engrossed in debate with Draghi at the other end of the room, according to two people who were present.