Spoiler alert: They both promised to knock each other out.
Relive the press conference by watching the above video, and scroll down for all of our witty comments preserved here forever.
The pair will finally be allowed to hit one another on 1 December, in Los Angeles.
What happened at the first press conference?
Fury accused Wilder of running scared and even claimed the WBC heavyweight champion is an awe of him, writes Declan Warrington.
Fury said: "He hasn't got what he says he's got. I see fear in Deontay Wilder, I could sense his heartbeat through his suit.
"I know when a man's scared - Wilder's terrified of me. He's timid when he's around me - looks at the floor, doesn't make eye contact, all that sort of stuff. Even when he's around me, off-stage."
Fury has been accused of only taking such a dangerous fight, just the third of his comeback, for the significant purse he will be paid.
The powerful Wilder has stopped each of his previous 39 opponents, but Fury also believes that the American is wary that will not be enough.
"I don't need anymore fights," he said, having previously revealed he would have preferred a further warm-up before December, which could define his career.
"I don't need one more fight. If it's going to be his easiest fight then he should knock me out in one round, shouldn't he? With one punch.
"(Wladimir) Klitschko was a proven puncher who banged me right in the chin - it didn't do anything. He was catching me throughout the fight with big shots - it didn't do a thing.
"Everyone who's a massive puncher can't take one back, because they load up with everything, leave themselves wide open, and wallop. All of a sudden they're looking up at the stars.
"If I say I'm ready to fight, I'm ready to fight. If I wasn't ready, I wouldn't take the fight."
Fury had a similarly-aggressive exchange with Klitschko at the first press conference to promote the fight he unexpectedly won in November 2015.
It was later largely felt that he had got under the then IBF, WBA and WBO champion's skin, but Wilder said: "Guys try to get into my head because my mind's so strong.
"He thinks that by talking like he did with Klitschko, and getting inside his head, it's going to be the same thing, but I'm a different person. You can't do that with me."
Asked about a rumoured rematch clause in his contract, in the event of a Fury victory, and if that meant a rematch could take place in the UK, he responded: "There's a lot of things in the contract. Anything could happen - I'm going to fight over here eventually, one day, whether it's Fury, whether it's (Anthony) Joshua, whether it's (Dillian) Whyte."
Hello and welcome to our live coverage of the second Deontay Wilder vs Tyson Fury press conference.
Watch the presser live using the video above and follow reaction with this rolling news blog.
The live feed above has kicked into life with some fairly tepid pre-presser chat, so we may actually be running on time in NYC. What are the chances of that!
In case you missed what happened in London yesterday, here's a good round-up courtesy of our boxing news scuffler Dec Taylor:
Boxing legend and all round good bloke Steve Bunce has already written his big preview ahead of this title fight.
Essential reading, obvs:
The press conference is "minutes away", apparently.
FINALLY! Here we go.
After a lengthy trailer the two men are introduced to the crowd, both dancing in front of a drumming band. Genuinely.
They're squaring up already. Blimey. Calm down lads, we haven't had any questions yet.
Here's Lou DiBella. Comedy moment as he prepares to speak only for the drumming to loudly continue.
"On December 1 it's going to be bombs away. The power and the fury. The most feared heavyweight in the world, the WBC champion, faces the fearless Gypsy King, the undefeated linear champion of the world.
"All it took was for the two champions to want to fight. On December 1 two of the three greatest heavyweights and fighting and the winner can walk away and say 'I am the man.'"
Some guff on tickets. Prices starting at $75. Bargain that.
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