Rublev came into the tournament on a four-match losing streak, but has eased into the final, knocking out second seed Carlos Alcaraz on the way, and will face unseeded Canadian Auger-Aliassime for the title on Sunday.
Holger Rune is only the third player to make it to the French Open quarter-finals on debut since 2005 after Rafael Nadal and Jannik Sinner.
Carlos Alcaraz is the first man to defend a championship in the California desert since Novak Djokovic won three straight between 2014-2016.
The German world number seven claimed his first ATP crown of the year after besting Canada's Felix Auger-Aliassime 6-3, 6-3 to win the bett1HULKS Indoor title at the same venue last Sunday.
Seven-times champion Novak Djokovic produced some of his best tennis to outclass Italian 25th seed Lorenzo Musetti 6-4, 7-6(2), 6-4 on Friday and reach a 10th Wimbledon final on Friday.
Third seed Alexander Zverev eased past home favourite Ugo Humbert
Carlos Alcaraz beat Fabian Marozsan 6-3, 6-3 to reach the Indian Wells quarter-finals
A sluggish Carlos Alcaraz was beaten 6-7(3), 6-3, 6-4 by Alexander Zverev on the his debut at the ATP Finals on Monday to continue his end-of-year slump with a third straight defeat.
Gauff cruises past Zidansek to reach French Open third round
Images from Day 1 of the 2024 Australian Open in Melbourne on Sunday.
Top-ranked Iga Swiatek of Poland faces Irina-Camella Begu of Romania in the opening round of the women's draw with second-seeded American Coco Gauff taking on Australian Ajla Tomljanovic.
Alcaraz missed last year's tournament with a hamstring injury
Wild card Caroline Wozniacki, another former champion and returning mother, will play 20th seed Magda Linette.
Casper Ruud has become the first Norwegian to book a place in the season-ending ATP Finals, leaving one spot to be filled at the tournament in Turin, Italy later this month.
World number one Carlos Alcaraz is the new big thing in men's tennis but says Novak Djokovic remains the favourite.
Rafael Nadal will miss the Monte Carlo Masters as his return from injury has been delayed further.
The Wimbledon men's singles semi-finals take centre stage at the All England Club on Friday.
Lorenzo Musetti faces seven-times Wimbledon champion Novak Djokovic in the semi-finals.
Djokovic said his son had won his first tournament on the same day he won the Italian Open
Andrey Rublev made the most of Holger Rune's nerves to win a see-saw Monte Carlo final 5-7, 6-2, 7-5 on Sunday, as the Russian's talent was finally rewarded with a Masters title.
Alcaraz stops Zverev to set up semi-final of US Open champions
The trio have dominated men's tennis over the last 20 years and played a major role in shaping the direction of the sport
'I'm just glad to overcome today's challenge in straight sets and move on.'
Carlos Alcaraz is the third Spaniard to reach the Wimbledon men's singles final after Manuel Santana and Rafael Nadal.
A true legend of the game who paved the way and taught so many of us how to be as a player and as a person.
Swiatek is positioned to face American fourth seed Jessica Pegula in the semi-finals.
Sabalenka crashed to a 6-7(5), 6-4, 6-4 defeat to Russian teenager Mirra Andreeva
Men's singles winner set to receive five times more the amount as compared to the women's champion.
Andrey Rublev moved into his third Masters final after fighting back from a set down in Monte Carlo to beat American Taylor Fritz 5-7, 6-1, 6-3 on Saturday to set up a showdown with Danish teenager Holger Rune.
In the ongoing Monte Carlo Masters, Jannik Sinner clinched a hard-fought win as Casper Ruud crashed out.
This year's US Open runs from Aug. 28-Sept. 10.
Certainly the prospect of another showdown at the US Open in a few weeks is exciting, but whether or not 23-time Grand Slam champion Djokovic can stretch his career long enough to battle Carlos Alcaraz on a regular basis is questionable.
Japan has extended a state of emergency in Tokyo and three other areas until the end of May as the country battles a surge in COVID-19 cases
Images from Day 10 of the 2022 Australian Open in Melbourne on Wednesday.
A summary of Wednesday's action at the US Open.
The unpredictable nature of the 2024 US Open has turned it into one of the most thrilling Grand Slam tournaments in recent memory.
Thirteen-time champion Rafael Nadal, 20-time Grand Slam winner Roger Federer and world number one Novak Djokovic were placed in the same half of the French Open draw on Thursday.
Tsitsipas made short work of Norwegian eighth seed Casper Ruud as he seized a third Monte Carlo Masters title in four years with a 6-1, 6-4 victory on Sunday.
Britain battled to victory over last year's Davis Cup runners-up Australia in their Finals group stage opener on Wednesday, while Spain and Italy both suffered chastening defeats at home in the premier men's team competition.