It promises to be a tense and thrilling finale to the season but Liverpool, who have frittered away a seven-point lead, will need to regain their momentum quickly if they are to push for their first league title since 1990.
Two late goals by Everton substitutes brought the Merseysiders a third successive win when they beat Crystal Palace 2-0 at Goodison Park in Sunday's only Premier League game.
The United fans, who celebrated the victory at the end of the game with the manager and players, have not been the source of criticism of Solskjaer -- indeed the Norwegian has enjoyed strong backing from supporters who attend games at Old Trafford and those who travel away.
Here are five talking points from the weekend's Premier League action:
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
United down Newcastle after Saints stun Chelsea on a dramatic night in the English Premier League.
Balotelli made his debut for his hometown club after completing a four-match suspension that he was handed at Olympique de Marseille last season, while the visitors were without Cristiano Ronaldo as he recovers from injury.
Aaron Ramsey scored a hat-trick on Saturday as Arsenal thrashed Everton 5-1 in the Premier League at the Emirates with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
Liverpool made it three wins out of three as Mohamed Salah scored twice in a convincing 3-1 victory over Arsenal on Saturday to take control at the top of the Premier League.
Twelve months ago Liverpool were ripping up the record books on the way to their first English top-flight title for 30 years but defeat by Everton on Saturday left them mulling a host of far less flattering statistics.
IMAGES from Saturday's English Premier League matches.
Chelsea were given a stiff examination by Stoke City at Stamford Bridge on Saturday before extending their lead at the top of the Premier League.
Images from the English Premier League matches played on Saturday
Rediff.com takes a look at some of the exhibits that grace the beaches of Sydney.
Australian photographer Warren Richardson has won the Photo of the Year 2015 award at the 59th annual World Press Photo Contest, results of which were announced on Thursday.
Images from the EPL matches played on Saturday
Liverpool's livewire Sadio Mane scored one goal and played a crucial part in the other as they reclaimed the Premier League's top spot with a scrappy 2-1 win at second bottom Fulham on Sunday.
A summary of Saturday's matches in the English Premier League.