Ole Gunnar Solskjaer’s side booked their place in the quarter-finals of the competition with a stunning comeback against Paris Saint-Germain.
And Liverpool joined them as they beat Bayern Munich at the Allianz Arena.
The draw for the quarter-finals takes place on Friday at 11am and the Premier League duo will have to be aware of an important rule.
Article 18 of the UEFA rulebook says there is no country protection from the next round meaning anyone can play anyone.
That means fans could be treated to a mouth-watering tie between Manchester United and Liverpool with Tottenham and Manchester City also potential opponents.
Teams already in the quarter finals are Spurs, Ajax, United, Porto, City and Juventus.
They will be joined by Liverpool and Barcelona.
The semi-final draw will also be made on Friday, immediately after the ties for the quarters have been confirmed.
Champions League draw: Man Utd and Liverpool could face each other in the quarter-finals (Image: GETTY)
Champions League draw: Real Madrid will not be in the last eight after being shocked by Ajax (Image: GETTY)
Mohamed Salah has admitted the Champions League is his own personal goal but he is willing to sacrifice the competition if it means the Reds win the Premier League title.
“I’ll be honest with you, the most prestigious competition for me is the Champions League,” he explained.
“But the dream for the city and the club is the league. So, I’m happy to sacrifice my dream for their dream.
“If we win both that would be great, and this is what we are trying to do.”
Champions League draw: Man City are into the quarter-finals (Image: GETTY)
Liverpool boss Jurgen Klopp had warned his players about the dangers of Bayern Munich.
He said: “It’s a much more positive moment for Bayern.
“They are top of the table and winning games comfortably again.
“But if we are at our best, we can be exceptional.”