Robin van Persie salvaged Manchester United's UEFA Champions League dream as his hat-trick beat Olympiacos 3-0 and booked a last-eight spot.
The hosts had trailed 2-0 heading into the second leg, with manager David Moyes under huge pressure to produce a result, but the Scot avoided a Greek tragedy with the help of his prolific Dutch frontman.
Penalties have become a familiar sight at Old Trafford in recent days - United conceded three in the weekend Premier League mauling by Liverpool - and Van Persie put the hosts ahead from 12 yards when one went their way in the 25th minute after a foul by Jose Holebas.
The Netherlands striker doubled his tally on the stroke of half-time to level the tie on aggregate, before curling home a free-kick seven minutes into the second period to seal the win and a famous comeback.
The result takes United into the last eight for the first time since 2011, while Olympiacos have now lost on all 12 of their visits to England, conceding an average of three goals.
Moyes made four changes from Sunday's 3-0 Premier League defeat at home to fierce rivals Liverpool, bringing Rio Ferdinand and Ryan Giggs into an experienced starting XI, and it was United who did the early pressing.
Wayne Rooney was first to challenge visiting goalkeeper Roberto, with the Spanish shot-stopper electing to extravagantly punch clear from a free-kick, but United's Herculean task almost became even greater 15 minutes in, when Hernan Perez scooped the ball over after good work by Joel Campbell to set up the opportunity.
Rooney went agonisingly close to making the visitors pay for that miss as he headed against the left-hand post from Giggs' cross, with replays suggesting that Roberto may have got the slightest of fingertips to the ball.
But United broke the deadlock from the spot after 25 minutes - Van Persie powering home after he had been recklessly bundled to the ground from behind by Holebas.
Patrice Evra had Roberto diving at full stretch 10 minutes before the break, forcing the Spaniard into an impressive stop with a headed effort from Van Persie's corner.
David De Gea then made a crucial double save at the other end, first denying David Fuster's header and then recovering well to keep out Alejandro Dominguez's effort from close range.
And United were level in the tie in first-half stoppage time when Van Persie tapped home through the legs of Roberto after a cross from Rooney.
The Dutchman was single-handedly rescuing their hopes, and he completed his treble in the 52nd minute by curling a 20-yard free-kick around the Olympiacos wall and beyond a statuesque Roberto to give the home fans belief and lift a considerable weight off Moyes' shoulders.
However, he almost had the ball in the back of his own net shortly afterwards when Dominguez's free-kick deflected narrowly wide off his head.
The delicate nature of the scoreline was emphasised when Fuster's rifled effort straight at De Gea in the 67th minute had many a Mancunian heart in their mouth, with Olympiacos still only a single away goal from victory.
But United weathered a late storm to cling on to an important victory, although the sight of Van Persie leaving the field on stretcher late on will be of some concern.
|20||R. van Persie||25' 45+1' 52'|
|Coach: D. Moyes|
for A. Valencia 77'
for D. Welbeck 82'
for R. van Persie 90+1'
|Modric: Ancelotti is my favourite Madrid manager|
|Klopp: Benteke must help himself|
|Hernandez sidelined for Europa League tie|
|Wenger: Arsenal will attack Leicester|
|Mahrez: Pearson deserves credit too|
|Benfica 1 Porto 2: Herrera, Aboubakar crown memorable derby comeback|
|Van Gaal trusts United over Mourinho rumours|
|Suarez explains tweaks behind ´MSN´ success at Barca|
|Burton Albion 1 Chesterfield 0: Butcher seals win for League One leaders|
|Carpi 1 Roma 3: Dzeko ends drought as Spalletti´s men win again|
|Sporting Gijon 2 Rayo Vallecano 2: La Liga strugglers play out pulsating draw|
|Dundee 2 St Johnstone 0: Hemmings at the double for Hartley´s men|
|Nagatomo: I turned down United move|
|Mainz 2 Schalke 1: Baumgartlinger fires Europa League charge|
|Rennes 1 Angers 0: Injury-time own goal moves hosts up to fifth|
|Tuchel prepared for tough Gundogan talks|
|Ex-Premier League star Bent handed suspended sentence|
|Ajax to take action over Vermeer effigy|
|Damiani: Pogba or Higuain to settle Juventus v Napoli|
|Getafe v Atletico Madrid: Gabi urges Torres to kick on after landmark goal|
|Manchester City v Tottenham: Pellegrini, Pochettino play down pivotal clash|
|Fiorentina v Inter: Icardi remains confident of Champions League qualification|
|Van Gaal: The real fans are right behind Depay|
|Barcelona v Celta Vigo: Rakitic only has eyes for trophies amid record-breaking run|
|FA must protect teams playing in Europe - Pellegrini|
|Varane is Madrid´s future - Zidane shuts down Manchester United rumours|
|Grayson: Vardy sums up Leicester brilliance - and Brad Pitt should play him on screen|
|Arsenal v Leicester City: Wenger out to disappoint football romantics on Valentine´s Day|
|Blanc: No guarantees despite new PSG deal|
|The pressure is on the others - Ranieri seeks to outfox title rivals|
|AC Milan v Genoa: Antonelli desperate to end losing streak|
|New Everton deal until 2019 for Oviedo|
|Lampard wants new deal for ´Mr Chelsea´ Terry|
|´Mini-Mourinho´ Nagelsmann demands respect in Hoffenheim survival fight|
|Pochettino not interested in Leicester v Arsenal result|
|Augsburg v Bayern Munich: Fearless Guardiola expects victory|
|Valcke banned for 12 years by FIFA|
|Hiddink plays down effect of Zouma injury on Terry future|
|Premier League ticket price debate: Wenger, Klopp, Hiddink and fellow managers have their say|
|Zidane won´t rush Bale´s Real return|
|Van Gaal dismisses questions over Manchester United future|
|Costa suffers broken nose in training|
|Kompany fit for crunch Spurs clash|
|Brisbane Roar 2 Newcastle Jets 2: Alivodic own goal rescues point for A-League leaders|
|Xavi excited by prospect of Guardiola, Mourinho duel|
|Robben still key for Bayern - Guardiola|
|Messi ends wait for La Liga award|
|Aston Villa v Liverpool: Hosts have ´no chance´ unless Norwich lessons are learned, warns Garde|
|Besic and Oviedo in line for new Everton deals|
|Khedira could return against Napoli|
|Gradel stepping up Bournemouth comeback|
|Guardiola: No problem with Ancelotti´s Munich visit|
|´Napoli are not all about Higuain´ - Allegri|
|Klopp: Coutinho free-kick one of the smartest in history|
|Dybala and Verratti have Barcelona DNA - Xavi|
|Wenger unworried by Giroud goal drought|
|Mahrez is ´dominating´ the Premier League - Wenger|
|Icardi: I would turn down Manchester United|
|Messi and Neymar inspiring Lukaku to silence the critics|
|Van Gaal impressed by ´excellent´ Giggs|
|Cannavaro sacked by Al-Nassr|
|Van Gaal proud of United work|
|Copa Libertadores Review: Independiente del Valle reach group stage|
|Mauro: Allegri should have Chelsea talks|
|Payet can become West Ham great - Sullivan|
|Rooney a target for Chinese clubs, says Eriksson|
|Klopp expects Liverpool´s Premier League drought to continue|
|Van Gaal: Woodward would tell me if he was speaking to Mourinho|
|Emery urges against Camp Nou final|
|Sagna: Man City still title favourites|
|Trelissac 0 Marseille 2: Fletcher opens account to seal quarter-final spot|
|Arsenal set for US pre-season fixtures|
|Lazio 5 Verona 2: Basement boys routed at Stadio Olimpico|
|Celta Vigo 2 Sevilla 2 (2-6 agg): Aspas brace in vain as Emery´s men reach final|
|Juventus v Napoli: Higuain confident he can handle pressure|
|Tan to write off Cardiff debts|
|Paris Saint-Germain v Lille: Champions seek to celebrate Blanc extension with win|
|Crystal Palace v Watford: Pardew hopes Adebayor can turn season around|
|Allardyce urges Van Gaal to discover Manchester United´s intentions|
|Sunderland terminate Johnson´s contract|
|Payet signs new West Ham contract|
|Oscar: I have no reason to leave Chelsea|
|Chelsea v Newcastle United: Oscar reflects on quest for form at Stamford Bridge|
|Pogba must improve mentality to become like Platini and Zidane - Mauro|
|AFC Bournemouth v Stoke City: Hughes praises Howe´s hard workers|
|Swansea City v Southampton: Koeman needs Wanyama to learn|
|Robinho returns to Brazil with Atletico Mineiro|
|Adidas terminates boot deal with Johnson|
|Sunderland consider Eboue deal|
|Sunderland v Manchester United: Carrick lauds Martial form ahead of key clash|
|Bundesliga record-breaker Nagelsmann replaces Stevens at Hoffenheim|
|Robben: No Manchester City move discussions with Guardiola|
|Borussia Dortmund v Hannover: Milosevic staying positive amid relegation fight|
|Norwich City v West Ham: Bilic eyes chance to build momentum|
|United poised for more heavy spending after record revenue|
|Pardew, Palace ´jealous´ of Leicester´s romantic title bid|
|Everton v West Brom: Martinez wants Goodison fortress|
|Allardyce confirms Johnson omission|
|Real Madrid not on Spalletti´s mind|
|Real Madrid v Athletic Bilbao: Valverde´s men out to improve shocking Bernabeu record|
|Angry Afobe hits back at Wolves after ´not trying´ accusations|
|Bojan agrees Stoke extension|
|Celina demanded international game-time - Norwegian FA|
|Manchester United profits surge after Champions League return|
|Prince Ali: FIFA is in crisis and needs to change|
|Aguero eyes further goal joy against Spurs|
|Deeney the perfect partner for Vardy and Kane with England, says Flores|
|Sirigu wanted PSG exit|
|Bordeaux suspend Prior and Sane|
|Saul in no rush to leave Atletico|
|Bilic: West Ham close to Payet deal|
|Martinez rubbishes Jagielka exit talk|
|Tomkins to miss five weeks with calf injury|
|Sunderland to drop Johnson for United match|
|Martinez: Title Leicester´s to lose|
|Xhaka tempted by Premier League switch|
|Carragher proud of Liverpool ticket-price U-turn|
|Mourinho and United a perfect match - McCarthy|
|Blanc extends PSG contract|
|Pulis heaps praise on Peterborough|
|Toranzo did not lose toes - Huracan president|
|Willian expects Terry to depart Chelsea|
|Mexico 2 Senegal 0: Duenas, Pizarro inspire win|
|Copa Libertadores Review: Sao Paulo, Racing qualify for group stages|
|Liverpool should be transparent with Sturridge injuries - Owen|
|FFA hands Wanderers fine and suspended points deduction|
|Luis Enrique: I had to give my voice a rest|
|Silva: I was not kicked off Marseille team bus|
|Blanc could sign PSG renewal by end of week|
|PSG drawn against familiar foes Saint-Etienne in Coupe de France|
|Neville confident Valencia fans will be back|
|Guardiola praises beaten Bochum|
|Coupe de France Review: Ibrahimovic sends PSG through, Nantes win thriller|
|I love penalties - West Brom´s shootout hero Foster|
|Ross County 0 Hearts 3: Dauda dazzles in valuable victory|
|Bayern Munich avoid Borussia Dortmund in DFB-Pokal semi-finals|