Barcelona’s Gerard Pique (left) and team-mates applaud fans after winning their Champions League 1st leg last 8 match on Tuesday. AFP
Luis Suarez's 12th minute back-post header was deflected past David de Gea by United left-back Shaw.
The Argentina star has already been ruled out of the team's trip to Florida for a one-off friendly against Napoli in Miami on Wednesday.
The five-time European champions will face either Liverpool or Porto in the last four in their first appearance at the stage of the competition since 2015.
Messi's wife Antonela Roccuzzo has shared a video on Instagram which showed Mateo taking a penalty and celebrating like the FC Barcelona superstar.
Real Madrid produced a rampant first-half display to beat Levante 3-2 in La Liga on Saturday with goals from Karim Benzema and Casemiro but dropped off after Eden Hazard came on to make his debut and were left clinging on for the three points.
Neymar marked his return to action for Paris Saint-Germain for the first time in four months with a stunning overhead kick in injury time that gave his team a 1-0 win over Strasbourg on Saturday.