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.
Jannik Sinner secured the year-end world number one ranking by beating Czech 30th seed Tomas Machac in the Shanghai Masters semi-finals.
Australia now have the opportunity to avenge last year's final defeat by Italy after world number one Jannik Sinner inspired the holders to a 2-1 victory over Argentina.
Italy's Matteo Berrettini beat Brazil's Joao Fonseca to give his side a flying start and Matteo Arnaldi then outlasted Thiago Monteiro to put the hosts into a 2-0 lead.
The British duo squandered two match points in a nerve-jangling second set tiebreak and looked to be heading out as the Belgians moved ahead in the third set, leading 9-7.
No 'triple bagel' but Djokovic thumps Mannarino to reach quarters
Novak Djokovic begins his hunt for a fifth Flushing Meadows crown when he meets Moldovan Radu Albot
A summary of Friday's action in the Davis Cup group stage matches.
'I'm not going to overplay. I'm not going to do anything different because I'm playing Novak. I'm going to play my game, play within myself and trust that if I play well, it's enough.' - US Open
Wimbledon attracts celebrities the way the US Open, the French Open and the Australian Open can't.
Holger Rune rallied from a set down and saved a match point to defeat former champion Taylor Fritz 2-6 7-6(2) 6-3 on Wednesday and reach the Indian Wells quarter-finals where he will meet fourth seed Daniil Medvedev.
Daniil Medvedev, the 2021 champion, will need to shake off a run of poor form if he is to mount a challenge.
Images from the US Open women's singles quarter-finals at Flushing Meadows on Wednesday.
'I think it only happens in France. At Wimbledon, obviously, there's not that. Or in Australia either. At the US Open, it's still rather quiet. Here, it's a really unhealthy atmosphere.'
Here is a quick glance of all the highs and lows from Nadal's stupendous career:
While 36-year-old Nadal defies age with his gritty wins amidst a barrage of injuries, 47-year-old Beckham is ageing like fine wine.
Novak Djokovic's bid for a record 25th Grand Slam title kicked off on Monday with an easy win over qualifier Radu Albot in the US Open first round.
Images from Day 8 of Wimbledon 2024 at The All England Lawn Tennis and Croquet Club in London on Monday.
Zheng Qinwen became the first Chinese player to win an Olympic tennis singles gold medal when she held off Croatia's Donna Vekic for a 6-2, 6-3 win in a tense final on Saturday.
Australian Open champion Rafael Nadal resumed training on Monday after four weeks out due a stress fracture in his rib, a month out from the French Open where the Spaniard will bid for a record-extending 14th title.
Serbia's Novak Djokovic beat Italy's Lorenzo Musetti 6-4 6-2 to reach his first Olympic final on Friday and will bid for gold in a blockbuster clash with Carlos Alcaraz.
At Wimbledon, on Wednesday, July 6, 2022, both Rafael Nadal and Nick Kyrgios were cheered and egged on by their respective partners from the players' box.
The Wimbledon men's singles semi-finals take centre stage at the All England Club on Friday.
Images from the Olympics tennis action at the Roland Garros, Paris, on Wednesday.
World number one Jannik Sinner's bid for a second Grand Slam title continued to gain momentum as he thumped Christopher O'Connell 6-1, 6-4, 6-2 on Saturday to reach the US Open fourth round.
A summary of the day's tennis action at Roland Garros.
Jannik Sinner bounced back after losing the first set to beat Tallon Griekspoor in the third round of the Miami Open.
With world number four Ruud already assured of a semi-final berth the match was in reality a dead rubber.
Carlos Alcaraz ended Australian qualifier Max Purcell's dream run to reach the Cincinnati Open semi-finals
Tsitsipas, who triumphed at the Monte Carlo Country Club in the last two editions, was never in the mix against Fritz
Frances Tiafoe, Taylor Fritz, Tommy Paul and Coco Gauff all advanced to the third round of the US Open on Wednesday to keep home hopes alive.
'This probably hurts more than any loss I've ever had'
The United States justified their status as favourites to outclass Italy in a one-sided final at the inaugural United Cup mixed team tournament on Sunday.
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.
The Serbian Wimbledon champion extended his win streak to nine, wrapping up the final in 75 minutes without facing a break point and booked his place at next month's ATP Finals.
Nadal's unbeaten streak of 20 matches in the year 2022 came to an end as he lost to Taylor Fritz
Top seed Carlos Alcaraz cruised into the quarter-finals of the Queen's Club Championships.
Nadal appeared close to retiring mid-match on Wednesday on Centre Court but he found the will to beat Fritz
Osaka takes equity stake in crypto exchange FTX