A club in the fourth tier of rugby as recently as 20 years ago, Exeter reached Aviva Premiership Rugby for the first time in 2010, while this campaign bettered all previous achievements, overcoming Wasps 34-23 in the semi-finals to reach Twickenham.
Exeter, bidding for its first Premiership title, fought back and tries from Jack Yeandle and England wing Jack Nowell brought the south-west club within range at 23-20.
Exeter would begin the second half in fine form, before changing their entire front row after five minutes as they looked to pull off what would be the most incredible comeback in the history of the Aviva Premiership.
"We knew we had a special group but it is a flawless way to finish the season". The more we conceded those penalties, the more field position they got and the more they mauled us - we just couldn't get our hands on the ball.
Wasps were the last to win both the trophies but Mark McCall's men fully deserve emulating them with that stunning victory over Racing 92 and then this triumph over fearless Chiefs.
However, the win was assured for Mark McCall's men when Alex Goode, who missed a vital tackle to stop Nowell from scoring at the other end, bundled his way over to grab a try of his own.
Exeter coach Rob Baxter believes his side will have learned much from their first experience of a Premiership final. "It is what is in front of you, it is three more games for us and hopefully we will finish well".
"But we showed the necessary composure in the last 15 minutes".
"Alex has played like that all season and for me he's the best full-back in England by miles".
Exeter supporters arrived en masse down the A303 from Devon, making themselves heard as winger Chris Ashton was booed during the team announcements.
Exeter managed one decent attack just before the interval, though, controlling the build-up, getting their big players involved for the first time.
"The lads are all very excited", said Albrighton, who will also be joined by Silhillians under-12s at Twickenham after they also triumphed back in November. "But we looked good when we had the ball. We have taken the right steps at the right time".
"We're not going to rest on our laurels and we want to try and get better every single day".
"This is the irony of course - because they have come from where they have come from, everybody thinks we are hot favourites", McCall said. In return we work hard for it.
He said: "I want us to get into a European Champions Cup final in the next few years - we'll probably have to learn some tough lessons in that".
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