Chelsea staggered into the FA Cup fourth round by winning on penalties on a night of controversy and confusion at Stamford Bridge when three players were booked for diving and two of them sent off.
Michy Batshuayi put the Premier League champions ahead in the second-half but teenager Jamal Lewis struck in the fourth minute of stoppage-time to take the replay into extra-time.
Willian, Pedro and Alvaro Morata were all shown yellow cards for diving as they attempted to win penalties, decisions made by referee Graham Scott and supported by his video assistant Mike Jones.
Chelsea’s second-choice goalkeeper Willy Caballero saved the first spot-kick he faced, stopping Nelson Oliveira’s effort
The former Manchester City stopper roars with delight – his crucial save helped Chelsea book spot in FA Cup fourth round
Eden Hazard, who came on as substitute in the first half of extra time, is congratulated by his team-mates following the win
The Belgium playmaker confidently stepped up to score the winning penalty, meaning Chelsea will next face Newcastle
Pedro was deservedly booked in the second half for simulation and received his marching orders for a late foul in extra time
Alvaro Morata became the second Blues player to be sent off after contesting his booking for a dive late in extra time
Chelsea manager Antonio Conte was fuming that two of his players were sent off and confronted referee Graham Scott
In the last second of second-half stoppage-time, Jamal Lewis headed home for Norwich to take the encounter to extra time
Norwich’s 19-year-old left back is congratulated by his team-mates after scoring a dramatic last-gasp header in west London
Michy Batshuayi is mobbed by his Chelsea team-mates after the hosts finally broke the deadlock against Norwich City
Kenedy advanced down the left and the Brazilian squared to the Belgian, who scored past Angus Gunn in the Norwich goal
Pedro was sent off when he received a second yellow for a mistimed slide tackle on Wes Hoolahan in the second period of extra-time and Morata was dismissed for dissent, a second yellow which followed seconds after his angry reaction to the first.
Having spent most of the game appealing for penalties which were not given, the tie was settled by spot-kicks, taken the old-fashioned way, one at a time.
Willy Caballero saved from Nelson Oliveira and Chelsea did not miss, with Eden Hazard converting the winning penalty to secure a fourth-round tie against Newcastle.
It did not seem likely to be so fraught when Batshuayi opened the scoring 10 minutes into the second half of normal time to end a wait for a goal which had stretched into its fifth hour of football.
Willian and Kenedy linked up in a tight area on the Chelsea left and Batshuayi escaped the attentions of Grant Hanley to find space to meet the cross at the near post.
Angus Gunn had no chance as the ball crashed into the roof of his net and relief washed around the stadium.
Norwich’s stubborn resistance had finally been broken and Batshuayi had his first goal since mid-October, not including a couple for the Under 21 team in the Checkatrade Trophy at Milton Keynes.
Until then, little had gone right for the Belgian centre forward, who scored the goal to win the title last season and is wanted on loan by Sevilla and a host of other teams but apparently not by Antonio Conte.
Brazilian playmaker Willian makes his way out on to Stamford Bridge pitch prior to kick off in the FA Cup third-round replay
Antonio Conte, the manager of Chelsea, shakes hands with Norwich City counterpart Daniel Farke before the fixture
Willian shows concentration to bring the ball down under control during an underwhelming first half in west London
Danny Drinkwater had the opening period’s best chance, hitting the opponents’ crossbar with this spectacular effort
Norwich goalkeeper Gunn leaps as Chelsea midfielder Drinkwater’s thunderous long-range shot at goal hits his crossbar
Batshuayi’s touch deserted him at key moments in the build-up and he misplaced passes and was easily shackled by central defender Christoph Zimmermann.
All that was forgotten as he celebrated Chelsea’s first goal since Marcos Alonso found the target in a thrilling Premier League derby at Arsenal, two weeks ago.
Batshuayi’s goal also served to uncork a tense replay as Norwich were forced to venture forward and play with more risk.
Josh Murphy hit a post with a bouncing volley as the Championship side searched of an equaliser and Caballero made a fabulous save to thwart James Maddison.
Pedro, at the other end, was booked for a dive as he searched for the second goal to ease his team into round four and the game ended at a frenzied tempo.
With the game in extra-time, Willian was also shown a yellow card for diving. This one appeared to be more debatable but referee Scott was backed by his video assistant.
Tiemoue Bakayoko looks to get Chelsea ticking in the middle of the park but is closed down by Norwich’s Harrison Reed
Luiz, who was handed a rare start by Conte after falling out with the Chelsea manager, looks towards the touchline
The Brazilian defender was back on set-piece duties on Wednesday evening but this free-kick didn’t test Gunn in goal
Chelsea’s Italian defender Davide Zappacosta manages to get a shot away after getting to the ball ahead of Lewis
The pair were involved in string of tussles throughout the match – here Zappacosta tugs on Lewis’ shirt to try and win the ball
The clock had ticked into the fourth minute of added time when Lewis levelled. Timm Klose crossed from the right and the teenager glanced a header past Caballero and in off the far post.
Conte, having grumbled long and hard about the fixture schedule, suddenly had another 30 minutes to consider ahead of a return to Premier League action at Brighton, on Saturday lunch-time.
Plans to give his first-teamers the night off were abandoned. On went Morata, Andreas Christensen, N’Golo Kante and Hazard.
The Chelsea manager started with his second-string side, as he did in the original tie, making nine changes from Saturday’s draw against Leicester.
Then, he twisted in frustration on the touchline as they created and wasted a cluster of chances. Danny Drinkwater, Tiemoue Bakayoko and Willian all missed the target during a dominant opening phase.
David Luiz wobbled a free-kick straight into the hands of goalkeeper Gunn and Kenedy saw a volley blocked by Ivo Pinto.
There were few chances in the early stages of the second half before Batshuayi broke the deadlock with this clever finish
Batshuayi endured an underwhelming first half on Wednesday night but showed his attacking prowess with this fine finish
The Belgian striker points to the back of his shirt after getting on the end of Kenedy’s cross to open the scoring for the Blues
The Belgian, making his 50th appearance for Chelsea in all competitions, joins his home fans to celebrate second-half goal
The former Marseille striker could be on the move away from Chelsea this month but celebrated his goal with the Blues fans
Frustration crept up and the home crowd roared for a penalty when Davide Zappacosta lashed a shot into Klose.
It struck him on an arm but there was no case for a penalty and this would prove to be the start of a pattern.
Gunn made a terrific save with his fingertips to turn a dipping Drinkwater volley against the bar and earned his luck as the ball rebounded, hit the back of his arms and spun to safety.
Norwich barely made it into Chelsea’s defensive third of the pitch during the opening half-hour when suddenly Nelson Oliveira almost gave them the lead.
Batshuayi, deep his own half, was guilty of a sloppy cross field pass, which found Oliveira 30 yards from goal and his instant swerving shot beat Caballero, clipped the bar and bounced over.
Minutes after Chelsea took the lead in the FA Cup encounter, they thought they had a penalty when Pedro went to ground
The ex-Barcelona star was clear down the left flank and after attempting to round Gunn, it appeared he was brought down
But television replays showed the Spaniard dived in a bid to win a spot-kick and he was deservedly shown a yellow card
Batshuayi laughs at the referee after being judged to have fouled Mario Vrancic during a tussle with the Norwich player
Chelsea’s versatile 17-year-old Ethan Ampadu impressed again – here he is winning the ball ahead of Norwich’s Josh Murphy
Norwich took confidence from his near miss. Moments later, Oliveira side-stepped Azpilicueta and went for goal again. This time his attempted drifted wide.
Murphy stretched Chelsea on the counter-attack and the Championship side started to show a little more adventure until their momentum was punctured by Batshuayi’s goal, 10 minutes into the second-half.
Even then, Norwich would not surrender, forced the Premier League team back and summoned enough threat to persuade Conte to send his first-teamers to protect the lead, late in the game.
Morata missed two good chances before teenager Lewis took the game into extra-time.
Hazard was sent on as the fourth substitute in extra-time which was dominated by various appeals from Chelsea for penalties. None were given but the tie would be decided from the spot with Hazard scoring the winner.
Lewis, who stayed up top as the full-time whistle approached, nods home in emphatic fashion to take tie to extra time
Chelsea goalkeeper Caballero, who was in superb form for the hosts, shows his dejection after conceding late on
Chelsea defender David Luiz and goalkeeper Willy Caballero cut dejected figures after seeing Norwich score with a late goal
The Norwich players were delighted to take the FA Cup third-round replay to extra time after scoring a late equaliser
In first period of extra time, Willian became second Chelsea player to be booked for simulation after going down in the box
Morata was dismissed for dissent, a second yellow which followed seconds after his angry reaction to the first for this dive
Chelsea’s players were able to breathe a sigh of relief after seeing Hazard put away to winning penalty to secure the victory