Fulham threw away a two-goal lead to draw 2-2 with Hull City on Saturday, severely denting their Premier League survival bid.
Shane Long stooped low to nod home with just three minutes of normal time remaining, after Nikica Jelavic had given the visitors hope of a point at Craven Cottage.
Ashkan Dejagah showed his quality to put Fulham ahead when he produced a wonderful shimmy and strike 10 minutes into the second half.
Just three minutes later, Fulham looked home and dry when Amorebieta headed home his first goal for the club.
But Felix Magath could only look on in horror as Sascha Riether crashed a clearance against his own crossbar, allowing Jelavic to head home with 14 minutes to play.
And Hull showed commendable spirit to claw level as Long scored to all-but secure their top-flight status and provide a confidence boost ahead of next month's FA Cup final.
After John Arne Riise and Hugo Rodallega went close for Fulham early on, Jelavic had Hull's first sight of goal - David Stockdale comfortably saving the Croat's close-range header - though the opening half-hour boasted few clear-cut chances.
Indeed, the main talking point of the half came five minutes before the break when Long went down in the area under pressure from the tracking Amorebieta.
However, Lee Mason waved away Hull appeals, before the second-half began with an explosive Rodallega volley he was unable to direct on target.
Riise and Lewis Holtby had been replaced by Dejagah and Kieran Richardson at the break, with Magath forced to make his third change just eight minutes into the second half.
Darren Bent replaced the injured Steve Sidwell in an attempt to offer Fulham some attacking impetus but it was Dejagah who opened the scoring with a curled effort that left Steve Harper with no chance.
The Iranian cut inside David Meyler before whipping in his fifth league goal of the season and the hosts doubled their lead soon after through Amorebieta.
While the Venezuelan may have been fortunate to be on the pitch, Hull could have no complaints with the quality of the goal - the former Athletic Bilbao man expertly guiding a precise Richardson cross past Harper.
However, it all went wrong for the home side from then on in as Riether's unfortunate attempted clearance was tipped onto his own crossbar by Stockdale before Jelavic tidied up the rebound.
With Hull piling on the pressure - Sone Aluko and Ahmed Elmohamady both hitting the woodwork - the visitors' late surge eventually proved too much for Fulham to hold back when Long headed home the equaliser.
A point makes life a little easier for Hull, who are edging closer to mathematical safety, though Magath's men remained mired in the relegation zone after a stunning collapse.
|Coach: F. Magath|
for J. Riise 46'
for L. Holtby 46'
for S. Sidwell 53'
|USA simply too good - Sasaki|
|Portland Timbers 1 San Jose Earthquakes 0: Jewsbury wins it in stoppage time|
|No move yet for Van Persie|
|Lloyd wins Golden Ball, Silver Boot awards|
|Mascherano: I never grabbed Banega|
|Dunga requested Brazil not appeal Neymar´s suspension|
|United States 5 Japan 2: Lloyd stars with hat-trick|
|Fiorentina deny Inter criticism|
|Nani relishing Fenerbahce opportunity|
|Newcastle hold talks over Northampton youngster|
|Cuadrado´s agent plays down Chelsea exit rumours|
|Liverpool´s Alberto set for Deportivo loan|
|Leverkusen suffer surprise defeat, Stuttgart hit six|
|Inter ´dismayed´ at Fiorentina vice-president´s Salah Twitter outburst|
|Blaszczykowski ruled out of Dortmund´s Asia tour|
|Gerrard gets the beers in for LA Galaxy fans|
|De Gea coy over Real links|
|Former Brazil star Carlos handed Delhi reins|
|Ciftci will not push through Celtic switch – agent|
|In-demand Mitrovic considering Roma offer|
|Lehmann calls on Cech to ´get over´ Chelsea|
|Marlos double sinks Monaco|
|Mauritius 0 South Africa 2 (agg 0-5): Bafana set up Angola qualifier|
|Keane relishing Gerrard arrival|
|Palace confirm Cabaye interest|
|Hamburg bring in Spahic after head-butt ban|
|Blatter hits out at France and Germany over World Cup votes|
|Sanchez: World Cup exit spurred Chile to Copa glory|
|Jojic makes Cologne switch, Santana move falls through|
|Carrillo keen to get going at Monaco|
|Micronesia thrashed 38-0 as Fiji triumph in Olympic qualifier|
|Schalke stunned by ´machine´ Caicara|
|MLS Review: Keane shines at Gerrard´s Galaxy unveiling|
|Counter-attacking the key for Japan|
|Jimenez happy at Atletico|
|Gerrard predicts ´successful future´ with Galaxy|
|Iniesta can´t see Real selling Ramos|
|Keshi sacked as Nigeria coach|
|Three finals, three defeats for Messi, Mascherano|
|Nani close to Fenerbahce move|
|Sampaoli revels in ´unbelievable joy´|
|Bravo: Copa victory a dream|
|Martino: Argentina should have won|
|Chile 0 Argentina 0 (4-1 on penalties): Hosts end trophy drought|
|Germany 0 England 1 (after extra time): England make World Cup history|
|Kenya 0 Ethiopia 0 (agg 0-2): Hosts sent out of CHAN qualifiers after second penalty miss|
|Dortmund put 17 past Olympians, Bremen hand out thrashing|
|Dinamo Zagreb confirm arrests of coach and club president|
|I didn´t know who Wimbledon guest Klopp was - Brown|
|LeBron James backs Liverpool captain Henderson for FIFA 16 cover.|
|Ramos: I am not negotiating with anyone|
|Valencia complete Mina swoop|
|United States v Japan: US seek final redemption|
|Hanousek consigns Celtic to defeat|
|Roma confirm Dzeko interest|
|Arsenal forward Podolski completes Galatasaray switch|
|Warm Dortmund welcome delights Tuchel|
|Silva vows to fight for Madrid place|
|Mancini hints at Shaqiri and Santon departures|
|Bojan raring to go after return from injury|
|Babel backs Firmino to shine at Liverpool|
|Falcao must wait to impress, warns Chelsea favourite|
|Bartomeu: Deal in place for Turan|
|Parejo re-signs with Valencia|
|MLS Review: Sounders return to winning ways|
|Klinsmann unhappy with USA performance|
|High hopes for Paraguay - Diaz|
|Gareca: More to come from Peru|
|Gerrard had European offers|
|Argentina out to spoil Chile´s party - Martino|
|Sampaoli: Chile won´t change style|
|Di Maria will come good at United - Rojo|
|Peru 2 Paraguay 0: Gareca´s men finish third at Copa|
|United States 4 Guatemala 0: Klinsmann´s men win comfortably|
|´I’d prefer no-one to know my name´ - Bassett|