This time, France lost Sebastien Vahaamahina in the second half to a red card for a insane elbow to Aaron Wainwright's face and Wales would roar back to snatch the win with six minutes left.
France were breathtaking at times, showcasing their beguiling best as Vahaamahina, flanker Charles Ollivon and centre Virimi Vakatawa scored first-half tries.
The result sees Wales advance to the final four where they will meet either South Africa or hosts Japan.
"We not only can grind teams down with the pack we've got, dominate aerially with the kicking game, we can also move the ball around and use our threats in the backs", Adams said. "And Tomos Williams came on with a little break and that rip at the end was pretty special".More news: Trump Drops Plan To Host G-7 Summit At His Miami Resort
Warren Gatland's side will now face the victor of Sunday's other quarter-final between hosts Japan and South Africa on Sunday October 27 in Yokohama for a place in the Rugby World Cup final.
Wales: L Williams; North, Watkin, Parkes, Adams; Biggar, G Davies; Wyn Jones, Owens, Francis, Ball, Alun Wyn Jones (captain), Wainwright, Navidi, Tipuric.
Despite the red card, France still showed incredible character both in attack and on defence.
Wales had to reply quickly following such an unsettling opening, and they delivered courtesy of a 12th-minute try for Wainwright.More news: Woodford flagship fund to be wound up
During a maul, Vahaamahina grappled his right arm around Wainwright's neck before pulling it away and launching his elbow back into his face.
Wales face France off the back of four pool stage wins but winger Josh Adams admits Warren Gatland's men are still looking to deliver the flawless performance.
The try was awarded following a TMO review and it clinched Wales victory. "Vahaamahina takes most of the blame, but if you're not giving that forward, then you shouldn't be reffing World Cup knockout games".
It was all hands to the pump for Wales' defenders, but France went ahead after five minutes when Vahaamahina powered over for a try from close range.More news: Antwerp title: Murray into first final since 2017, faces Wawrinka
France captain Guilhem Guirado was evidently gutted in his post-match television interview.