Players from both sides were struggling with cramp in Turin as extra time dragged on but the Spanish team triumphed on penalties to win the Europa League trophy
The Spanish side were arguably the underdogs heading into the final in Turin but fought until the end of extra time - through cramp and exhaustion - to reach spot kicks.
Sevilla scored all four of their penalties - as Benfica missed two of their first four - to secure their third win of the secondary European trophy in their history and Emery praised the way in which his team battled beyond the pain barrier to triumph.
"Benfica are a great team," he told Cuatro. "At the end of extra time we were tired but we've learned how to cope through suffering with solidarity. This title is down to so many people."
Sevilla substitute Kevin Gameiro scored the winning penalty but revealed that it did not cross his mind exactly how he would take the penalty.
"I didn't think when I was shooting the penalty," the French striker said. "I just kicked it hard. It's a very important day for us."
Between the sticks, meanwhile, Beto put in a great performance to keep Benfica from getting on the scoresheet and saved two penalties during the shootout to help his team conquer Jorge Jesus's men.
"It's the perfect final," the goalkeeper said. "It ended the best way. I'm so proud being part of this team and I'm so happy to win this trophy."