Mohamed Salah scored Egypt's winning penalty after Eric Bailly missed for Ivory Coast in a dramatic shoot-out following a 0-0 draw in the Africa Cup of Nations last-16.
Liverpool forward Salah fired home from the spot after Manchester United defender Eric Bailly provided the only miss of the shoot-out - his tame penalty kept out by goalkeeper Mohamed Abou Gabal, who had replaced Mohammed El Shenawy in the final minutes of normal time.
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Egypt were first to threaten when striker Omar Marmoush rattled the bar with a curling 17th-minute effort, and Ivory Coast 'keeper Badra Sangare had to tip over Salah's dipping attempt.
However, the Elephants responded as the half-time whistle approached when Ibrahim Sangare forced El Shenawy into a 39th-minute stop with an acrobatic volley before the 'keeper repelled Sebastien Haller's strike from distance in stoppage time.
Early in the second half, Egypt's Amr El Soleya fired wastefully over from Salah's square ball and Mohamed Elneny saw his deflected cross scrambled away by Badra Sangare.
Egypt 'keeper El Shenawy had to tip over Haller's 70th-minute header after Bailly had turned the ball back across goal and, after Trezeguet had come off the bench to fire wide from a tight angle at the other end, saved with his legs from substitute Wilfried Zaha as the 90 minutes ended goalless.
Egypt's Mohamed Sherif, who had been introduced at the start of extra-time, was left bloodied after heading just over within three minutes of his arrival, and Badra Sangare parried Zizo's raking 98th-minute strike.
Gabaski, who had replaced the injured El Shenawy with two minutes of normal time remaining, had to claw Ibrahim Sangare's 104th-minute shot out of his top corner, but the sides remained locked together and penalties were required.
AFCON 2021 quarter-final fixtures and results
Saturday January 29
Quarter-final 1: Cameroon vs Gambia, 4pm (Japoma Stadium, Douala) - Live on Sky Sports
Quarter-final 2: Burkina Faso vs Tunisia, 7pm (Roumde Adjia Stadium, Garoua) - Live on Sky Sports Premier League
Sunday January 30
Quarter-final 3: Round-of-16 game 7 winner vs Morocco, 4pm (Olembe Stadium, Yaounde) - Live on Sky Sports Premier League
Quarter-final 4: Senegal vs Round-of-16 game 8 winner, 7pm (Japoma Stadium, Douala) - Live on Sky Sports Football
Sky Sports to show AFCON live
The Africa Cup of Nations tournament will be broadcast live on Sky Sports in January and February.
The tournament, originally scheduled to be played in June and July 2021, will be played in Cameroon between January 9 and February 6, 2022, with Sky Sports showing all 52 games live.
Twenty-four teams will take part, kicking off on January 9 as hosts Cameroon host Burkina Faso in Yaounde, before culminating in the final on February 6 in the capital.