This weekend they meet at Scotstoun for the second time this season, having already squared off in Europe, and with the Warriors seven from seven in the league and Leinster second in Conference B, it’s the marquee fixture in round eight.
With that in mind, we have picked out five notable clashes between the sides in recent seasons – starting with the last time they met at Scotstoun.
October 2017 Champions Cup Group Stage
Glasgow Warriors 18 Leinster 34
Leinster kicked off their European campaign with an impressive victory over Montpellier, while Glasgow came into the this encounter off the back of a frustrating loss at Exeter where they had trailed by just two points with three minutes remaining only to come away with nothing.
Despite an early try for Stuart Hogg, this was all about Leinster, with Cian Healy helping himself to two tries in the first half.
Johnny Sexton added another, and with four minutes remaining, Noel Reid crossed for the all-important fourth as Leinster made it ten points from a possible ten in Europe.
April 2017 Guinness PRO12 Regular Season
Leinster 31 Glasgow Warriors 30
The last meeting between the two teams in the regular season was a seven-try thriller that featured floodlight failure, an unlikely comeback and a late match-winning penalty.
With just two rounds of the season remaining, the Warriors needed a win to have any chance of making the play-offs, while Leinster were still in a battle for top spot at the end of the regular season.
It looked like Leinster were going to run away with it in the first half thanks to tries from Dom Ryan, Rory O’Loughlin and Peter Dooley as they took a 23-6 lead.
But after Zane Kirchner’s bonus-point try, Glasgow fought back with three tries of their own from Adam Ashe, Lee Jones and Finn Russell to lead.
That was when Joey Carbery stepped up to nail a crucial penalty and give Leinster a one-point lead. Despite a floodlight failure which extended the game by 20 minutes, the Irish side held on.
September 2016 Guinness PRO12 Regular Season
Glasgow Warriors 33 Leinster 25
This meeting at Scotstoun was the Tommy Seymour show as the Scotland winger shone in the sunshine on his way to scoring four tries.
In a season where he would eventually get called up by the British & Irish Lions, Seymour proved too hot to handle for Leinster as Glasgow made it two wins from two in their fledgling campaign.
However after 50 minutes of this game, it was Leinster who were in control leading 22-12. That’s when Seymour picked off an errant Joey Carbery pass to run in his second try. He added another two minutes later, again pouncing on a Leinster error, before bringing up his fourth eight minutes from time to wrap up the win.
March 2015 Guinness PRO12 Regular Season
Leinster 34 Glasgow Warriors 34
Just a year after they had met in the final of the competition, Leinster and Glasgow played out an absolute classic at the RDS.
Both teams managed four tries in a game that swung one way then the other, with the points eventually shared.
Stuart Hogg had given Glasgow a good start, and despite Fergus McFadden hitting back, the visitors were in control following further scores from Richie Vernon and Mark Bennett.
Isaac Boss’ try just after half-time brought Leinster back, and he added a second before Jordi Murphy and the boot of Ian Madigan looked to have won it for the home side.
Instead there was still time for Glenn Bryce to grab Glasgow’s fourth try, with Peter Horne slotting the tricky conversion to earn a draw.
May 2014 PRO12 Final
Leinster 34 Glasgow Warriors 12
Appearing in their first final, Glasgow had the daunting task of beating Leinster at the RDS, and on this occasion it proved too much for them.
Zane Kirchner went over twice for the home team, while Shane Jennings and Gordon D’Arcy also crossed.
Although the final scoreline is one-sided, Glasgow trailed by just two points after an hour before Leinster pulled away.
While it was a disappointing performance from the Scots, they would bounce back a year later and take their first league title under the leadership of Gregor Townsend.
Guinness PRO14 Final 2018 Ticket Information: Fans can save up to 20% on selected tickets, and prices start at just €30 for adults and €5 for children, and can be booked via www.ticketmaster.ie