United ended their two-match losing run thanks to Cristiano Ronaldo's stoppage-time winner against Villarreal in the Champions League last Wednesday.
Everton, meanwhile, arrive at Old Trafford on the back of their 2-0 win against Norwich last weekend. The Toffees look a strong outfit this season and they will be looking to give the Red Devils a run for their money.
When, where and how to watch
When: Saturday, October 2, 12:30pm BST
Where: Old Trafford
How to watch: BT Sport
Don't fancy any of our selections? Why not have a crack at this Planet Sport Bet's price-boosted build-a-bet.
Man United are yet to play a top-six side this season but Everton may just provide a comparable challenge.
Rafa Benitez has enjoyed a strong start to his latest managerial tenure and his side currently sit fifth in the standings, with four league wins from six.
Interestingly, Everton's final pre-season friendly saw them suffer a 4-0 thrashing at the hands of the Red Devils. While inconsequential, that defeat is unlikely to have been forgotten by Benitez and his men, who will be out for revenge.
Ole Gunnar Solskjaer's side may be higher in the table than Everton but the amount of pressure on the Norwegian manager is growing.
Considering the strength of their squad, United are expected to make a serious claim for silverware. However, recent results are beginning to indicate a continuing fragility and a lack of tactical nous.
With the Red Devils enduring mixed results over the past month, the outright market is one to avoid. Instead, my first tip is to back both teams to score - a bet which has landed in four of the last five head-to-heads.
Last three meetings
Man United 3-3 Everton (Premier League - February 6, 2021)
In their last Premier League meeting, Everton rescued a late point at Old Trafford.
Scott McTominay put United back in front with a 70th-minute goal but their lead was not to last as Dominic Calvert-Lewin bagged an equaliser deep into stoppage time.
Everton 0-2 Man United (Carabao Cup - December 23, 2020)
Man United's last victory over Everton came in the Carabao Cup towards the end of 2020.
The match was goalless for 88 minutes before the visitors eventually found a couple of breakthroughs.
First it was Cavani who found the back of the net. Then, deep into stoppage time, Anthony Martial added a second.
Everton 1-3 Man United (Premier League - November 7, 2020)
A month earlier, Man United enjoyed a far more comfortable visit to Goodison Park.
Bernard opened the scoring for the hosts in the 19th minute but things quickly went downhill from there.
Two first-half Fernandes goals put United in front, while Cavani's stoppage-time strike sealed all three points.
Last 10 head-to-heads
Man United wins: 5
Everton wins: 1
Man United goals: 19
Everton goals: 12
Late goal show?
All three previous head-to-heads have seen a goal scored in stoppage time. Meanwhile, four of the last five head-to-heads have seen a goal after the 70th minute.
Late goals are not something that only concerns this fixture. Man United in general have scored a plethora of goals in the last quarter of an hour.
Last Wednesday, it was Cristiano Ronaldo's stoppage-time winner which helped the Red Devils to a 2-1 victory over Villarreal.
Ten days earlier, Jesse Lingard's 89th-minute winner sealed all three points for United at West Ham.
Solskjaer's men have also conceded late goals, including one in stoppage time against Young Boys and even one last weekend against Aston Villa - both goals leading to United defeats.
With that in mind, my second tip ahead of the Everton game is to back the third match goal to be scored after the 70th minute. At around 3/1 mark, the bet certainly offers good value.
There's goals in this Toffees side
From their eight competitive games this season, Everton have only failed to score in one of them - a 3-0 defeat to Aston Villa two weeks ago.
The Toffees already look far more prolific than they did towards the back end of last season.
What's more, their haul of 12 goals from six Premier League games suggests Man United could be in for a difficult test.
The good thing for Benitez is that his side have been able to find goals from different areas of the pitch. Demarai Gray and Calvert-Lewin both have three goals to their name, while Abdoulaye Doucoure and Andros Townsend have scored twice.
Considering their strengths going forward, my third tip is for Everton to get on the scoresheet at 4/6.
No prizes for guessing who tops the anytime goalscorer market. Yes, it's Ronaldo who at the price of 4/6 doesn't exactly offer much value.
What's more, his odds certainly make better reading at around the 5/4 mark.