Harry Kane scored twice in his first league appearance in front of a home crowd to steer champions Bayern Munich to a 3-1 victory over Augsburg.
Both sides had shots cleared off the line but Real were left feeling more disappointed after winning the tactical battle but failing to take their chances.
Rashford, one of Europe's top talents before falling out of favour at United and spending the latter part of last season on loan at Aston Villa, joins a stellar attacking cast featuring Robert Lewandowski, Raphinha, Dani Olmo and Ferran Torres.
Barca face La Liga leaders Real Sociedad on Wednesday hoping to build on their slender 1-0 victory over Levante after suffering painful defeats by Cadiz and Juventus and making their worst start to a league season in 33 years.
Barcelona have given forward Jeffren permission to quit their tour of the United States to negotiate a transfer to Sporting Lisbon, the European champions said on Monday.
Paris St Germain buried the ghosts of their embarrassing 2017 exit as they drew 1-1 at home with Barcelona on Wednesday to complete a 5-2 aggregate victory that sent them into the Champions League quarter-finals.
The draw means second-placed Atletico Madrid could close the 12-point gap with Barcelona, who are on 74 points, if they beat Celta Vigo later on Saturday.
IMAGES from the UEFA Champions League matches played on Wednesday.
When Griezmann fired Atletico to victory over Olympique de Marseille in the Europa League final in May it was widely viewed as his last stand for Diego Simeone's side before a move to Barca but they successfully convinced the Frenchman to stay.
Marseille cement second place with Montpellier win
'This is very special because of how much I suffered. My statistics show I've won five league titles in seven years.'
Harry Kane scored his 36th goal of the season but Bayern Munich let a second-half lead slip to draw 2-2 with Hamburg SV.
Juventus climb to top of Serie A with win over Lecce
A mesmeric Lionel Messi helped Barcelona to come from behind and beat Sevilla 2-1 in a thrilling encounter on Sunday as the champions kept the pressure on La Liga leaders Real Madrid, who saw off Leganes 3-0 thanks to a double from Gareth Bale.
Luis Suarez grabbed a hat-trick and Lionel Messi bagged two goals as Barcelona began their quest for a third straight La Liga title with a 6-2 rout of Real Betis on Saturday. Arda Turan, whose two goals against Sevilla helped Barca lift the Spanish Super Cup on Wednesday, gave them an early lead at the Nou Camp before Ruben Castro equalised in the 21st minute. Barca went back in front thanks to a trademark 37th-minute goal from Messi before Suarez, La Liga's top scorer last season, made it 3-1 before halftime.
Roundup of Champions League matches played on Wednesday night
A round-up of Saturday's action in Serie A, La Liga and Bundesliga.
Real Madrid, Barcelona and Atletico Madrid, find themselves in the bizarre situation of having made poor starts to the campaign
'They were better than us, they went all out to win the game from the start and we really struggled with their pressure especially at the start of both halves'
Barcelona started strongly, with Gavi stinging the palms of Espanyol goalkeeper Alvaro Fernandez in the sixth minute, shortly before Alonso glanced a header into the net, following a corner.
Samuel Eto'o scored twice to help Barcelona rally from two down to draw 2-2 at Real Betis on Saturday, stretching their Primera Liga lead to 13 points.
Images from the soccer matches played across Europe on Saturday.
Barcelona have been haunted by their recent failures in the Champions League and there are concerning signs for the Catalans as they prepare for Tuesday's last-16 first leg away to Olympique Lyonnais.
IMAGES from the football matches played across Europe on Sunday.
David Villa struck just after halftime to lift champions Barcelona to a laboured 1-0 home win over his former club Sporting Gijon in La Liga on Wednesday.
Images from Saturday's action in La Liga.
The veteran admits Barca have defence problems, slams Dembele
Lionel Messi scored twice and Luis Suarez struck his first La Liga goal as Barcelona crushed struggling Cordoba 5-0 on Saturday.
News of all that's transpired on and off the football field
Real Madrid and Atletico each slipped 10 points behind La Liga leaders Barcelona after an intense Madrid derby finished goalless and the Catalans picked up an 11th victory in 12 games by winning 3-0 at Leganes.
Barcelona's Neymar scored twice and Luis Suarez was also on target as they reached their fourth King's Cup final in five years with a 3-1 win away to Villarreal on Wednesday that gave them a 6-2 aggregate victory.
Lionel Messi led Barcelona to a 3-1 win at home to Napoli for a 4-2 aggregate victory which took the club into the Champions League quarter-finals, where they face Bayern Munich.
Late goals from Dani Olmo and Robert Lewandowski earned LaLiga leaders Barcelona a hard-fought 2-0 victory over Espanyol.
Barcelona forward Neymar finds himself at the centre of unwanted media attention in Spain as his struggling team's promising season threatens to unravel after a run of defeats. The Brazilian has not scored in his last five games and is being portrayed as one of the reasons for Barca's woes after three straight La Liga losses has seen them caught by Atletico Madrid, who have also knocked them out of the Champions League. Barcelona-based newspaper La Vanguardia this week focused on the 24-year-old's conduct off the pitch, particularly his "trips away, parties at unadvisable times and commercial commitments". He visited Brazil in March for his sister's birthday party. TV programme 'El Dia Despues (The Day After) on Tuesday showed Neymar arguing with Jordi Ala during Sunday's home defeat by Valencia after the defender chose not to pass to him. Camera footage showed Neymar appearing to swear at his team mate. Barcelona play Deportivo La Coruna on Wednesday looking to get their title bid back on track with the cover of newspaper Mundo Deportivo focusing on Neymar, pictured between Lionel Messi and Luis Suarez, below the headline 'This cannot go on'.
Barcelona equalled a club record of 12 consecutive league wins as Neymar and Lionel Messi were among the scorers in a 6-0 thrashing of struggling Getafe 6-0 at the Nou Camp on Saturday.
Images from the UEFA Champions League matches played on Tuesday night.
Barcelona restored their lead at the top of La Liga standings to nine points after Lionel Messi and Luis Suarez each scored in a routine if underwhelming 3-0 win at home to struggling Levante on Sunday, with Paulinho increasing their lead in added time.
The home side spurned two chances to extend their advantage before the break but Barca levelled in the 52nd minute when Luis Suarez glanced in Lionel Messi's free kick.
After an even first 45 minutes, strikes from Pablo Sarabia and Wissam Ben Yedder stunned the Catalans and left them needing a second-leg comeback at the Nou Camp for the second consecutive round in the competition.
Images from Sunday's action in La Liga and Ligue 1.
