The £45million signing has endured a hard start to life at Goodison Park but here, repaid a chunk of his large fee with a stunning strike in a fine comeback for Sam Allardyce's side.
Big Sam has seen his new Toffees side win four and draw one of their five games since being unveiled as the new boss.
The Iceland global, who left the Swans in a £45million summer move, scored the vital second after Dominic Calvert-Lewin had cancelled out Leroy Fer's opener by converting Wayne Rooney's saved penalty on the stroke of half-time.
"I'm a confident person and I believe in myself", Rooney said.
A few minutes later Calvert-Lewin nearly extended Everton's lead after he was played through on goal but his left-foot strike was too weak to beat Fabianski.
A dreary opening half-hour, punctuated only by injury to Wilfried Bony less than four minutes in, was belatedly ended by Aaron Lennon's screwing a shot wide after nutmegging Alfie Mawson.
Abraham nearly responded for Swansea in the 66th minute after cutting the ball back across the six-yard box, but Everton managed to clear.
This was not their most authoritative performance since Allardyce took charge, but, unlike the darker days of this season under Ronald Koeman and then David Unsworth, they retained their composure after Swansea took a first-half lead through Leroy Fer.
Sigurdsson's shot was claimed by Fabianski despite an awkward bounce after 58 minutes, but the Iceland worldwide put Everton in front with his next effort.
After Rooney found him on the left flank, Sigurdsson cut inside on to his right foot and unleashed an unstoppable drive past Fabianski and into the far corner of the net in the 64th.
Everton were awarded another penalty which Rooney converted this time in the 73rd minute to make it 3-1 after Olsson fouled Jonjoe Kenny on the edge of the box.
"I was never going to give that second penalty up".
The club head into the busy Christmas schedule on a six-match unbeaten run and face Chelsea, West Brom, Bournemouth and Manchester United all in the next two weeks. Those players have huge Premier League experience.
'Yes, a frontman but I'm hugely pleased with what Dominic (Calvert-Lewin) has done this season.
Rooney said he was not going to surrender penalty duties even though he has the second worst miss record in Premier League history - 10 from 33 with England and Newcastle great Alan Shearer missing 11 of 67.
Dorsey essentially lost a power struggle with Reid. "All the people I talk to about Hue, they love Hue", Dorsey said Friday. That arrangement, while not uncommon, can cause problems when things aren't going well , as the Browns know all too tell.
The OS maker is giving app developers 60 days to fix their issues and update apps with notifications of their full practices. Google announced plans to crack down on Android applications that fail to warn users when they are collecting personal data.
However, Trump and LaVar Ball engaged in a war of words after Trump demanded that the players thank him for his help. A professional team in Lithuania has offered the Ball Brothers a job, but not the one they are looking for.
Buress' fans on Twitter had many strong reactions to the comedian's arrest, including tweets declaring, "Free Hannibal Buress ". Buress is featured on the TV show Broad City and has appeared in movies such as Spiderman Homecoming and Baywatch.
But just yesterday, a strong indication that Prime Video for Apple TV is finally coming emerged in Apple's App Store. Amazon and Google compete in voice-activated smart speakers, streaming video devices and online video services.
There had been suggestions beforehand that such a punishment might lead to a wholesale Russian boycott of the Winter Olympics. The IOC sanctioned the country for running a state-sponsored doping system, one which undermined the 2014 Sochi Olympics .
ISIS Militants Storm Kabul Spy Agency Center
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Xbox One Version Of PUBG Is Now Available To Buy And Play
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Raging Thomas Fire triggers new evacuation orders in California
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Google pulls YouTube from Amazon TV boxes amid bitter feud
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Al Franken resigns from Senate over sex misconduct claims
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Students shot at United States high school
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LaVar Ball pulls LiAngelo Ball out of UCLA
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Russian parliament to bar all US media from accessing it
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