One more win would secure their place in the top three of Conference A, but that won’t be the only thing at stake when they welcome rivals Glasgow Warriors on Saturday night.
This is despite Glasgow already having a home semi-final in the bag after winning Conference B, as the fixture – the third of the season between the two Scottish teams – will decide who holds the 1872 Cup.
Edinburgh took first blood just before Christmas when they edged a thriller 18-17 at BT Murrayfield, but Glasgow turned the tables the following week by grinding out a 17-0 victory at Scotstoun.
With the match awash with internationals, there will be several key contests around the pitch that will decide where it will be won or lost and here are two that we’ve picked out.
Blair Kinghorn v Stuart Hogg
There are few more dangerous broken-field runners in world rugby than Stuart Hogg, who can turn defence into attack for Glasgow and Scotland in the blink of an eye.
But the 25-year-old isn’t the only Scottish full back to be making a real stir these days, as Blair Kinghorn has been enjoying a breakthrough season.
Nobody has gained more metres in the Guinness PRO14 than Kinghorn’s 1,327, which is close to 200 metres more than his nearest competitor, Connacht’s Tiernan O’Halloran.
— PRO14 RUGBY (@PRO14Official) April 27, 2018
The 21-year-old has also made 20 clean breaks over the course of the campaign, during which he has played alongside Hogg in the Scottish national side.
Where Hogg may have the upper hand is in defence, as he is solid under the high ball and is just as capable of making last-ditch tackles out of possession as he is side-stepping them with the ball.
But where both excel is their ability to bring teammates into the game after breaking from deep and loose kicking from either side will lead to these two causing problems.
Magnus Bradbury v Matt Fagerson
Scotland’s back-row options run deep at the moment and that is only going to improve at the rate that flankers Magnus Bradbury and Matt Fagerson are developing.
Bradbury was deservedly named Man of the Match in Edinburgh’s thumping win over Scarlets, after scoring one of their eight tries and getting through 18 tackles.
He is also a superb operator at the breakdown and his ability to prevent opponents from getting quick ball will need to be on show against one of the best teams in this season’s Guinness PRO14.
Bradbury is still only 22 years of age, but he’s a veteran compared to the teenage Fagerson, who has followed older brother Zander into the Glasgow fold to great effect.
It says a lot about his precocious talents that the match in Edinburgh will already be the 19-year-old’s 25th appearance for the Warriors.
While his efforts in the ruck still need fine-tuning, you only need to watch his charge through the middle against Connacht a couple of weeks ago to know what a dangerous runner he is.
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